diff --git a/idl/SMESH_Mesh.idl b/idl/SMESH_Mesh.idl
index 78ecc771e..0fc7456c5 100644
--- a/idl/SMESH_Mesh.idl
+++ b/idl/SMESH_Mesh.idl
@@ -541,13 +541,15 @@ module SMESH
                    in long_array    IDsOfFixedNodes,
                    in long          MaxNbOfIterations,
                    in double        MaxAspectRatio,
-                   in Smooth_Method Method);
+                   in Smooth_Method Method,
+                   in boolean       IsParametric);
 
     boolean SmoothObject(in SMESH_IDSource  theObject,
 			 in long_array      IDsOfFixedNodes,
 			 in long            MaxNbOfIterations,
 			 in double          MaxAspectRatio,
-			 in Smooth_Method   Method);
+			 in Smooth_Method   Method,
+                         in boolean         IsParametric);
 
     void RenumberNodes();
 
diff --git a/src/SMESH_I/SMESH_MeshEditor_i.cxx b/src/SMESH_I/SMESH_MeshEditor_i.cxx
index 3b9dccf9d..776fd0c37 100644
--- a/src/SMESH_I/SMESH_MeshEditor_i.cxx
+++ b/src/SMESH_I/SMESH_MeshEditor_i.cxx
@@ -625,7 +625,8 @@ CORBA::Boolean
                              const SMESH::long_array &              IDsOfFixedNodes,
                              CORBA::Long                            MaxNbOfIterations,
                              CORBA::Double                          MaxAspectRatio,
-                             SMESH::SMESH_MeshEditor::Smooth_Method Method)
+                             SMESH::SMESH_MeshEditor::Smooth_Method Method,
+                             CORBA::Boolean                         IsParametric)
 {
   SMESHDS_Mesh* aMesh = GetMeshDS();
 
@@ -651,7 +652,8 @@ CORBA::Boolean
     method = ::SMESH_MeshEditor::CENTROIDAL;
 
   ::SMESH_MeshEditor anEditor( _myMesh );
-  anEditor.Smooth( elements, fixedNodes, method, MaxNbOfIterations, MaxAspectRatio );
+  anEditor.Smooth(elements, fixedNodes, method,
+                  MaxNbOfIterations, MaxAspectRatio, IsParametric );
 
   // Update Python script
   TCollection_AsciiString str ("isDone = mesh_editor.Smooth(");
@@ -661,9 +663,11 @@ CORBA::Boolean
   str += ", ";
   str += (Standard_Real) MaxAspectRatio;
   if ( method == ::SMESH_MeshEditor::CENTROIDAL )
-    str += ", SMESH.SMESH_MeshEditor.CENTROIDAL_SMOOTH )";
+    str += ", SMESH.SMESH_MeshEditor.CENTROIDAL_SMOOTH, ";
   else
-    str += ", SMESH.SMESH_MeshEditor.LAPLACIAN_SMOOTH )";
+    str += ", SMESH.SMESH_MeshEditor.LAPLACIAN_SMOOTH, ";
+  str += IsParametric;
+  str += " )";
   SMESH_Gen_i::AddToCurrentPyScript( str );
 #ifdef _DEBUG_
   SMESH_Gen_i::AddToCurrentPyScript( "print \"Smooth: \", isDone" );
@@ -683,11 +687,12 @@ CORBA::Boolean
 				   const SMESH::long_array &              IDsOfFixedNodes,
 				   CORBA::Long                            MaxNbOfIterations,
 				   CORBA::Double                          MaxAspectRatio,
-				   SMESH::SMESH_MeshEditor::Smooth_Method Method)
+				   SMESH::SMESH_MeshEditor::Smooth_Method Method,
+                                   CORBA::Boolean                         IsParametric)
 {
   SMESH::long_array_var anElementsId = theObject->GetIDs();
-  CORBA::Boolean isDone = Smooth
-    (anElementsId, IDsOfFixedNodes, MaxNbOfIterations, MaxAspectRatio, Method);
+  CORBA::Boolean isDone = Smooth (anElementsId, IDsOfFixedNodes, MaxNbOfIterations,
+                                  MaxAspectRatio, Method, IsParametric);
 
   // Clear python line(s), created by Smooth()
   SMESH_Gen_i* aSMESHGen = SMESH_Gen_i::GetSMESHGen();
@@ -703,10 +708,12 @@ CORBA::Boolean
   str += (Standard_Integer) MaxNbOfIterations;
   str += ", ";
   str += (Standard_Real) MaxAspectRatio;
-  if ( Method == SMESH::SMESH_MeshEditor::CENTROIDAL_SMOOTH )
-    str += ", SMESH.SMESH_MeshEditor.CENTROIDAL_SMOOTH )";
+  if ( Method == ::SMESH_MeshEditor::CENTROIDAL )
+    str += ", SMESH.SMESH_MeshEditor.CENTROIDAL_SMOOTH, ";
   else
-    str += ", SMESH.SMESH_MeshEditor.LAPLACIAN_SMOOTH )";
+    str += ", SMESH.SMESH_MeshEditor.LAPLACIAN_SMOOTH, ";
+  str += IsParametric;
+  str += " )";
   SMESH_Gen_i::AddToCurrentPyScript( str );
 #ifdef _DEBUG_
   SMESH_Gen_i::AddToCurrentPyScript( "print \"SmoothObject: \", isDone" );
diff --git a/src/SMESH_I/SMESH_MeshEditor_i.hxx b/src/SMESH_I/SMESH_MeshEditor_i.hxx
index 38694d9fc..3ee4fe514 100644
--- a/src/SMESH_I/SMESH_MeshEditor_i.hxx
+++ b/src/SMESH_I/SMESH_MeshEditor_i.hxx
@@ -81,13 +81,14 @@ class SMESH_MeshEditor_i: public POA_SMESH::SMESH_MeshEditor
                         const SMESH::long_array &              IDsOfFixedNodes,
                         CORBA::Long                            MaxNbOfIterations,
                         CORBA::Double                          MaxAspectRatio,
-                        SMESH::SMESH_MeshEditor::Smooth_Method Method);
+                        SMESH::SMESH_MeshEditor::Smooth_Method Method,
+                        CORBA::Boolean                         IsParametric);
   CORBA::Boolean SmoothObject(SMESH::SMESH_IDSource_ptr              theObject,
 			      const SMESH::long_array &              IDsOfFixedNodes,
 			      CORBA::Long                            MaxNbOfIterations,
 			      CORBA::Double                          MaxAspectRatio,
-			      SMESH::SMESH_MeshEditor::Smooth_Method Method);
-
+			      SMESH::SMESH_MeshEditor::Smooth_Method Method,
+                              CORBA::Boolean                         IsParametric);
 
   void RenumberNodes();
   void RenumberElements();