diff --git a/src/Controls/SMESH_Controls.cxx b/src/Controls/SMESH_Controls.cxx
index 229162e3e..805f8ed68 100644
--- a/src/Controls/SMESH_Controls.cxx
+++ b/src/Controls/SMESH_Controls.cxx
@@ -3353,7 +3353,7 @@ void CoplanarFaces::SetMesh( const SMDS_Mesh* theMesh )
       return;
 
     const double cosTol = Cos( myToler * M_PI / 180. );
-    NCollection_Map< SMESH_TLink, SMESH_TLink > checkedLinks;
+    NCollection_Map< SMESH_TLink, SMESH_TLinkHasher > checkedLinks;
 
     std::list< std::pair< const SMDS_MeshElement*, gp_Vec > > faceQueue;
     faceQueue.push_back( std::make_pair( face, myNorm ));
diff --git a/src/DriverSTL/DriverSTL_R_SMDS_Mesh.cxx b/src/DriverSTL/DriverSTL_R_SMDS_Mesh.cxx
index a40197102..7466b9c65 100644
--- a/src/DriverSTL/DriverSTL_R_SMDS_Mesh.cxx
+++ b/src/DriverSTL/DriverSTL_R_SMDS_Mesh.cxx
@@ -23,6 +23,7 @@
 #include "DriverSTL_R_SMDS_Mesh.h"
 
 #include <Basics_Utils.hxx>
+#include <Basics_OCCTVersion.hxx>
 
 #include <gp_Pnt.hxx>
 #include <NCollection_DataMap.hxx>
@@ -41,8 +42,12 @@ namespace
     //function : HashCode
     //purpose  :
     //=======================================================================
+#if OCC_VERSION_LARGE < 0x07080000
     inline static Standard_Integer HashCode
     (const gp_Pnt& point,  Standard_Integer Upper)
+#else
+    size_t operator()(const gp_Pnt& point) const
+#endif
     {
       union
       {
@@ -52,14 +57,22 @@ namespace
 
       point.Coord( U.R[0], U.R[1], U.R[2] );
 
+#if OCC_VERSION_LARGE < 0x07080000
       return ::HashCode(U.I[0]/23+U.I[1]/19+U.I[2]/17+U.I[3]/13+U.I[4]/11+U.I[5]/7,Upper);
+#else
+      return static_cast<size_t>(U.I[0]/23+U.I[1]/19+U.I[2]/17+U.I[3]/13+U.I[4]/11+U.I[5]/7);
+#endif
     }
     //=======================================================================
     //function : IsEqual
     //purpose  :
     //=======================================================================
+#if OCC_VERSION_LARGE < 0x07080000
     inline static Standard_Boolean IsEqual
     (const gp_Pnt& point1, const gp_Pnt& point2)
+#else
+    bool operator()(const gp_Pnt& point1, const gp_Pnt& point2) const
+#endif
     {
       static Standard_Real tab1[3], tab2[3];
       point1.Coord(tab1[0],tab1[1],tab1[2]);
diff --git a/src/SMESH/SMESH_MeshEditor.cxx b/src/SMESH/SMESH_MeshEditor.cxx
index a0db1ec7a..2836505d5 100644
--- a/src/SMESH/SMESH_MeshEditor.cxx
+++ b/src/SMESH/SMESH_MeshEditor.cxx
@@ -101,6 +101,7 @@
 #include "SMESH_TryCatch.hxx" // include after OCCT headers!
 
 #include <smIdType.hxx>
+#include <Basics_OCCTVersion.hxx>
 
 #define cast2Node(elem) static_cast<const SMDS_MeshNode*>( elem )
 
@@ -1505,7 +1506,7 @@ int SMESH_MeshEditor::Reorient2D( TIDSortedElemSet &  theFaces,
   vector< const SMDS_MeshElement* > facesNearLink;
   vector< std::pair< int, int > >   nodeIndsOfFace;
   TIDSortedElemSet                  avoidSet, emptySet;
-  NCollection_Map< SMESH_TLink, SMESH_TLink > checkedLinks;
+  NCollection_Map< SMESH_TLink, SMESH_TLinkHasher > checkedLinks;
 
   while ( !theRefFaces.empty() )
   {
@@ -7789,6 +7790,8 @@ bool SMESH_MeshEditor::applyMerge( const SMDS_MeshElement* elem,
 // purpose : allow comparing elements basing on their nodes
 // ========================================================
 
+struct ComparableElementHasher;
+
 class ComparableElement : public boost::container::flat_set< smIdType >
 {
   typedef boost::container::flat_set< smIdType >  int_set;
@@ -7797,6 +7800,8 @@ class ComparableElement : public boost::container::flat_set< smIdType >
   smIdType                mySumID;
   mutable int             myGroupID;
 
+  friend ComparableElementHasher;
+
 public:
 
   ComparableElement( const SMDS_MeshElement* theElem ):
@@ -7825,7 +7830,11 @@ public:
     mySumID   = src.mySumID;
     myGroupID = src.myGroupID;
   }
+};
 
+struct ComparableElementHasher
+{
+#if OCC_VERSION_LARGE < 0x07080000
   static int HashCode(const ComparableElement& se, int limit )
   {
     return ::HashCode( FromSmIdType<int>(se.mySumID), limit );
@@ -7834,7 +7843,17 @@ public:
   {
     return ( se1 == se2 );
   }
+#else
+  size_t operator()(const ComparableElement& se) const
+  {
+    return static_cast<size_t>(FromSmIdType<int>(se.mySumID));
+  }
 
+  bool operator()(const ComparableElement& se1, const ComparableElement& se2) const
+  {
+    return ( se1 == se2 );
+  }
+#endif
 };
 
 //=======================================================================
@@ -7852,8 +7871,8 @@ void SMESH_MeshEditor::FindEqualElements( TIDSortedElemSet &        theElements,
   if ( theElements.empty() ) elemIt = GetMeshDS()->elementsIterator();
   else                       elemIt = SMESHUtils::elemSetIterator( theElements );
 
-  typedef NCollection_Map< ComparableElement, ComparableElement > TMapOfElements;
-  typedef std::list<smIdType>                                     TGroupOfElems;
+  typedef NCollection_Map< ComparableElement, ComparableElementHasher > TMapOfElements;
+  typedef std::list<smIdType>                                           TGroupOfElems;
   TMapOfElements               mapOfElements;
   std::vector< TGroupOfElems > arrayOfGroups;
   TGroupOfElems                groupOfElems;
diff --git a/src/SMESHDS/CMakeLists.txt b/src/SMESHDS/CMakeLists.txt
index b1f3043c6..bcf550740 100644
--- a/src/SMESHDS/CMakeLists.txt
+++ b/src/SMESHDS/CMakeLists.txt
@@ -67,7 +67,6 @@ SET(SMESHDS_HEADERS
   SMESHDS_GroupOnGeom.hxx
   SMESHDS_GroupOnFilter.hxx
   SMESH_SMESHDS.hxx
-  SMESHDS_DataMapOfShape.hxx
   SMESH_Controls.hxx
 )
 
diff --git a/src/SMESHDS/SMESHDS_Mesh.hxx b/src/SMESHDS/SMESHDS_Mesh.hxx
index 1ffd3e02a..1753bccf6 100644
--- a/src/SMESHDS/SMESHDS_Mesh.hxx
+++ b/src/SMESHDS/SMESHDS_Mesh.hxx
@@ -32,6 +32,8 @@
 #include "SMDS_Mesh.hxx"
 #include "SMESHDS_SubMesh.hxx"
 
+#include <Basics_OCCTVersion.hxx>
+
 #include <TopTools_IndexedMapOfShape.hxx>
 #include <TopoDS_Shape.hxx>
 
@@ -57,10 +59,31 @@ class SMDS_BallElement;
  * So this functionality implement on new NCollection_DataMap technology
  */
 #include <NCollection_DataMap.hxx>
-#include "SMESHDS_DataMapOfShape.hxx"
 typedef std::list<const SMESHDS_Hypothesis*>                          THypList;
+
+#if OCC_VERSION_LARGE < 0x07080000
+
+struct SMESHDS_Hasher
+{
+  static inline Standard_Boolean IsEqual(const TopoDS_Shape& S1,
+                                         const TopoDS_Shape& S2)
+  {
+    return S1.IsSame(S2);
+  }
+  static inline Standard_Integer HashCode(const TopoDS_Shape& S,
+                                          const Standard_Integer Upper)
+  {
+    return ::HashCode( S, Upper);
+  }
+};
 typedef NCollection_DataMap< TopoDS_Shape, THypList, SMESHDS_Hasher > ShapeToHypothesis;
 
+#else
+
+typedef NCollection_DataMap< TopoDS_Shape, THypList > ShapeToHypothesis;
+
+#endif
+
 class SMESHDS_GroupBase;
 class DownIdType;
 
diff --git a/src/SMESHGUI/SMESHGUI.cxx b/src/SMESHGUI/SMESHGUI.cxx
index 78fba25d5..81da39ee2 100644
--- a/src/SMESHGUI/SMESHGUI.cxx
+++ b/src/SMESHGUI/SMESHGUI.cxx
@@ -22,7 +22,23 @@
 //  File   : SMESHGUI.cxx
 //  Author : Nicolas REJNERI, Open CASCADE S.A.S.
 
+#include <Basics_OCCTVersion.hxx>
+
+#if OCC_VERSION_LARGE < 0x07080000
+
 #include <Standard_math.hxx>  // E.A. must be included before Python.h to fix compilation on windows
+
+#else
+
+#ifdef _MSC_VER
+#ifndef _USE_MATH_DEFINES
+#define _USE_MATH_DEFINES
+#endif
+#include <math.h>
+#endif
+
+#endif
+
 #ifdef HAVE_FINITE
 #undef HAVE_FINITE            // VSR: avoid compilation warning on Linux : "HAVE_FINITE" redefined
 #endif
diff --git a/src/SMESHUtils/SMESH_FreeBorders.cxx b/src/SMESHUtils/SMESH_FreeBorders.cxx
index 44c12aa3d..4b7123107 100644
--- a/src/SMESHUtils/SMESH_FreeBorders.cxx
+++ b/src/SMESHUtils/SMESH_FreeBorders.cxx
@@ -444,7 +444,7 @@ void SMESH_MeshAlgos::FindCoincidentFreeBorders(SMDS_Mesh&              mesh,
                                                 CoincidentFreeBorders & foundFreeBordes)
 {
   // find free links
-  typedef NCollection_DataMap<SMESH_TLink, const SMDS_MeshElement*, SMESH_TLink > TLink2FaceMap;
+  typedef NCollection_DataMap<SMESH_TLink, const SMDS_MeshElement*, SMESH_TLinkHasher > TLink2FaceMap;
   TLink2FaceMap linkMap;
   int nbSharedLinks = 0;
   SMDS_FaceIteratorPtr faceIt = mesh.facesIterator();
@@ -840,7 +840,7 @@ void SMESH_MeshAlgos::FindFreeBorders(SMDS_Mesh&       theMesh,
   bool isManifold = true;
 
   // find free links
-  typedef NCollection_DataMap<SMESH_TLink, const SMDS_MeshElement*, SMESH_TLink > TLink2FaceMap;
+  typedef NCollection_DataMap<SMESH_TLink, const SMDS_MeshElement*, SMESH_TLinkHasher > TLink2FaceMap;
   TLink2FaceMap linkMap;
   int nbSharedLinks = 0;
   SMDS_FaceIteratorPtr faceIt = theMesh.facesIterator();
diff --git a/src/SMESHUtils/SMESH_MeshAlgos.cxx b/src/SMESHUtils/SMESH_MeshAlgos.cxx
index e8b118798..860536f70 100644
--- a/src/SMESHUtils/SMESH_MeshAlgos.cxx
+++ b/src/SMESHUtils/SMESH_MeshAlgos.cxx
@@ -1989,8 +1989,8 @@ SMESH_MeshAlgos::FindSharpEdges( SMDS_Mesh* theMesh,
   std::vector< Edge > resultEdges;
   if ( !theMesh ) return resultEdges;
 
-  typedef std::pair< bool, const SMDS_MeshNode* >                            TIsSharpAndMedium;
-  typedef NCollection_DataMap< SMESH_TLink, TIsSharpAndMedium, SMESH_TLink > TLinkSharpMap;
+  typedef std::pair< bool, const SMDS_MeshNode* >                                  TIsSharpAndMedium;
+  typedef NCollection_DataMap< SMESH_TLink, TIsSharpAndMedium, SMESH_TLinkHasher > TLinkSharpMap;
 
   TLinkSharpMap linkIsSharp;
   Standard_Integer nbBuckets = FromSmIdType<Standard_Integer>( theMesh->NbFaces() );
@@ -2101,8 +2101,8 @@ SMESH_MeshAlgos::SeparateFacesByEdges( SMDS_Mesh* theMesh, const std::vector< Ed
 
   // build map of face edges (SMESH_TLink) and their faces
 
-  typedef std::vector< const SMDS_MeshElement* >                    TFaceVec;
-  typedef NCollection_DataMap< SMESH_TLink, TFaceVec, SMESH_TLink > TFacesByLinks;
+  typedef std::vector< const SMDS_MeshElement* >                          TFaceVec;
+  typedef NCollection_DataMap< SMESH_TLink, TFaceVec, SMESH_TLinkHasher > TFacesByLinks;
   TFacesByLinks facesByLink;
   Standard_Integer nbBuckets = FromSmIdType<Standard_Integer>( theMesh->NbFaces() );
   if ( nbBuckets > 0 )
@@ -2270,7 +2270,7 @@ std::vector< const SMDS_MeshNode*> SMESH_MeshAlgos::GetCommonNodes(const SMDS_Me
 bool SMESH_MeshAlgos::IsOn2DBoundary( const SMDS_MeshNode*                 theNode,
                                       std::vector< const SMDS_MeshNode*> * theNeibors )
 {
-  typedef NCollection_DataMap< SMESH_TLink, int, SMESH_TLink > TLinkCountMap;
+  typedef NCollection_DataMap< SMESH_TLink, int, SMESH_TLinkHasher > TLinkCountMap;
   TLinkCountMap linkCountMap( 10 );
 
   int nbFreeLinks = 0;
diff --git a/src/SMESHUtils/SMESH_Offset.cxx b/src/SMESHUtils/SMESH_Offset.cxx
index ee14065d0..2db2974e8 100644
--- a/src/SMESHUtils/SMESH_Offset.cxx
+++ b/src/SMESHUtils/SMESH_Offset.cxx
@@ -29,6 +29,7 @@
 #include "SMDS_Mesh.hxx"
 
 #include <Utils_SALOME_Exception.hxx>
+#include <Basics_OCCTVersion.hxx>
 
 #include <Bnd_B3d.hxx>
 #include <NCollection_Map.hxx>
@@ -43,7 +44,7 @@ namespace
   const int theMaxNbFaces = 256; // max number of faces sharing a node
 
   typedef NCollection_DataMap< const SMDS_MeshNode*, const SMDS_MeshNode*, SMESH_Hasher > TNNMap;
-  typedef NCollection_Map< SMESH_Link, SMESH_Link >                                       TLinkMap;
+  typedef NCollection_Map< SMESH_Link, SMESH_TLinkHasher >                                TLinkMap;
 
   //--------------------------------------------------------------------------------
   /*!
@@ -75,7 +76,11 @@ namespace
     const SMDS_MeshNode* IntNode() const { return myIntNode.Node(); }
     const SMDS_MeshNode* Node1() const { return myNode[ myReverse ]; }
     const SMDS_MeshNode* Node2() const { return myNode[ !myReverse ]; }
+  };
 
+  struct CutLinkHasher
+  {
+#if OCC_VERSION_LARGE < 0x07080000
     static Standard_Integer HashCode(const CutLink&         link,
                                      const Standard_Integer upper)
     {
@@ -90,9 +95,23 @@ namespace
                link1.myNode[1] == link2.myNode[1] &&
                link1.myIndex == link2.myIndex );
     }
+#else
+    size_t operator()(const CutLink& link) const
+    {
+      return size_t( link.myNode[0]->GetID() +
+                     link.myNode[1]->GetID() +
+                     link.myIndex );
+    }
+    bool operator()(const CutLink& link1, const CutLink& link2 ) const
+    {
+      return ( link1.myNode[0] == link2.myNode[0] &&
+               link1.myNode[1] == link2.myNode[1] &&
+               link1.myIndex == link2.myIndex );
+    }
+#endif
   };
 
-  typedef NCollection_Map< CutLink, CutLink > TCutLinkMap;
+  typedef NCollection_Map< CutLink, CutLinkHasher > TCutLinkMap;
 
   //--------------------------------------------------------------------------------
   /*!
@@ -274,7 +293,16 @@ namespace
                       TLinkMap&                    theCutOffCoplanarLinks) const;
     void InitLinks() const;
     bool IsCoplanar( const EdgePart* edge ) const;
+    void Dump() const;
 
+  private:
+
+    EdgePart* getTwin( const EdgePart* edge ) const;
+  };
+
+  struct CutFaceHasher
+  {
+#if OCC_VERSION_LARGE < 0x07080000
     static Standard_Integer HashCode(const CutFace& f, const Standard_Integer upper)
     {
       return ::HashCode( FromSmIdType<int>(f.myInitFace->GetID()), upper );
@@ -283,14 +311,20 @@ namespace
     {
       return f1.myInitFace == f2.myInitFace;
     }
-    void Dump() const;
+#else
+    size_t operator()(const CutFace& f) const
+    {
+      return FromSmIdType<int>(f.myInitFace->GetID());
+    }
 
-  private:
-
-    EdgePart* getTwin( const EdgePart* edge ) const;
+    bool operator()(const CutFace& f1, const CutFace& f2) const
+    {
+      return f1.myInitFace == f2.myInitFace;
+    }
+#endif
   };
 
-  typedef NCollection_Map< CutFace, CutFace > TCutFaceMap;
+  typedef NCollection_Map< CutFace, CutFaceHasher > TCutFaceMap;
 
   //--------------------------------------------------------------------------------
   /*!
diff --git a/src/SMESHUtils/SMESH_TypeDefs.hxx b/src/SMESHUtils/SMESH_TypeDefs.hxx
index 8b89a1205..a00bb2e2a 100644
--- a/src/SMESHUtils/SMESH_TypeDefs.hxx
+++ b/src/SMESHUtils/SMESH_TypeDefs.hxx
@@ -27,6 +27,8 @@
 #ifndef __SMESH_TypeDefs_HXX__
 #define __SMESH_TypeDefs_HXX__
 
+#include <Basics_OCCTVersion.hxx>
+
 #include "SMESH_Utils.hxx"
 
 #include "SMDS_SetIterator.hxx"
@@ -36,6 +38,7 @@
 
 #include <gp_XYZ.hxx>
 #include <gp_XY.hxx>
+#include <NCollection_Sequence.hxx>
 
 #include <map>
 #include <list>
@@ -156,6 +159,19 @@ struct SMESH_TLink: public NLink
   const SMDS_MeshNode* node2() const { return second; }
 
   // methods for usage of SMESH_TLink as a hasher in NCollection maps
+  //static int HashCode(const SMESH_TLink& link, int aLimit)
+  //{
+  //  return smIdHasher::HashCode( link.node1()->GetID() + link.node2()->GetID(), aLimit );
+  //}
+  //static Standard_Boolean IsEqual(const SMESH_TLink& l1, const SMESH_TLink& l2)
+  //{
+  //  return ( l1.node1() == l2.node1() && l1.node2() == l2.node2() );
+  //}
+};
+// a hasher in NCollection maps
+struct SMESH_TLinkHasher
+{
+#if OCC_VERSION_LARGE < 0x07080000
   static int HashCode(const SMESH_TLink& link, int aLimit)
   {
     return smIdHasher::HashCode( link.node1()->GetID() + link.node2()->GetID(), aLimit );
@@ -164,6 +180,16 @@ struct SMESH_TLink: public NLink
   {
     return ( l1.node1() == l2.node1() && l1.node2() == l2.node2() );
   }
+#else
+  size_t operator()(const SMESH_TLink& link) const
+  {
+    return smIdHasher()( link.node1()->GetID() + link.node2()->GetID() );
+  }
+  bool operator()(const SMESH_TLink& l1, const SMESH_TLink& l2) const
+  {
+    return ( l1.node1() == l2.node1() && l1.node2() == l2.node2() );
+  }
+#endif
 };
 typedef SMESH_TLink SMESH_Link;
 
@@ -218,6 +244,7 @@ typedef SMESH_TNodeXYZ SMESH_NodeXYZ;
 
 struct SMESH_Hasher
 {
+#if OCC_VERSION_LARGE < 0x07080000
   static Standard_Integer HashCode(const SMDS_MeshElement* e, const Standard_Integer upper)
   {
     return smIdHasher::HashCode( e->GetID(), upper );
@@ -226,6 +253,17 @@ struct SMESH_Hasher
   {
     return ( e1 == e2 );
   }
+#else
+  size_t operator()(const SMDS_MeshElement* e) const
+  {
+    return smIdHasher()( e->GetID() );
+  }
+
+  bool operator()(const SMDS_MeshElement* e1, const SMDS_MeshElement* e2) const
+  {
+    return ( e1 == e2 );
+  }
+#endif
 };
 
 //--------------------------------------------------
@@ -262,10 +300,8 @@ typedef std::vector< const SMDS_MeshElement* > SMESH_SequenceOfElemPtr;
 
 // --------------------------------------------------------------------------------
 // class SMESH_SequenceOfNode
-#include <NCollection_DefineSequence.hxx>
-typedef const SMDS_MeshNode* SMDS_MeshNodePtr;
 
-DEFINE_SEQUENCE(SMESH_SequenceOfNode,
-                SMESH_BaseCollectionNodePtr, SMDS_MeshNodePtr)
+typedef const SMDS_MeshNode*                     SMDS_MeshNodePtr;
+typedef NCollection_Sequence< SMDS_MeshNodePtr > SMESH_SequenceOfNode;
 
 #endif
diff --git a/src/StdMeshers/StdMeshers_Quadrangle_2D.cxx b/src/StdMeshers/StdMeshers_Quadrangle_2D.cxx
index 26614d3a8..0d5a066fc 100644
--- a/src/StdMeshers/StdMeshers_Quadrangle_2D.cxx
+++ b/src/StdMeshers/StdMeshers_Quadrangle_2D.cxx
@@ -49,7 +49,7 @@
 #include <Bnd_Box.hxx>
 #include <GeomAPI_ProjectPointOnSurf.hxx>
 #include <Geom_Surface.hxx>
-#include <NCollection_DefineArray2.hxx>
+#include <NCollection_Array2.hxx>
 #include <Precision.hxx>
 #include <ShapeAnalysis.hxx>
 #include <TColStd_SequenceOfInteger.hxx>