diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/orientation.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/orientation.h
index bcc02ce5ae6..0eb2a055366 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/orientation.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/orientation.h
@@ -453,7 +453,7 @@ namespace Polygon_mesh_processing {
 * @tparam TriangleMesh a model of `FaceListGraph` and `MutableFaceGraph` .
 * @tparam NamedParameters a sequence of \ref namedparameters
 *
-* @param tm a triangulated `TriangleMesh`
+* @param tm a closed triangulated `TriangleMesh`
 * @param orient_positively indicates if the output mesh should be oriented positively (`true`) or negatively (`false`).
 * default value is true.
 * A closed polygon mesh is considered to have a positive orientation if the normal vectors
@@ -487,6 +487,7 @@ void orient(TriangleMesh& tm, bool orient_positively, const NamedParameters& np)
 
   if (!is_triangle_mesh(tm)) return ;
   if (!is_valid(tm)) return ;
+  if (!is_closed(tm)) return;
   Vpm vpm = boost::choose_param(get_param(np, internal_np::vertex_point),
                                 get_const_property_map(boost::vertex_point, tm));
 
diff --git a/Polygon_mesh_processing/test/Polygon_mesh_processing/test_orient_cc.cpp b/Polygon_mesh_processing/test/Polygon_mesh_processing/test_orient_cc.cpp
index 1e15f42f042..3cb4bdf0858 100644
--- a/Polygon_mesh_processing/test/Polygon_mesh_processing/test_orient_cc.cpp
+++ b/Polygon_mesh_processing/test/Polygon_mesh_processing/test_orient_cc.cpp
@@ -74,13 +74,18 @@ bool test_orientation(TriangleMesh& tm, bool is_positive, const NamedParameters&
 int main()
 {
 
+<<<<<<< HEAD
   std::ifstream input("data-coref/nested_cubes_invalid_volume.off");
+=======
+  std::ifstream input("data/Volume_nested_spheres.off");
+>>>>>>> 5bf8e4d86b... Add requirement close for orient function
   assert(input);
-  SMesh sm1, sm2, sm3, sm4;
+  SMesh sm1, sm2, sm3, sm4, volume;
   input >> sm1;
   sm2 = sm1;
   sm3 = sm1;
   sm4 = sm1;
+  volume = sm1;
   PMP::orient(sm1);
   if(!test_orientation(sm1, true, PMP::parameters::all_default()))
     return 1;
@@ -109,10 +114,6 @@ int main()
     return 1;
 
 
-  SMesh volume;
-  std::ifstream input2("data/Volume_nested_spheres.off");
-  assert(input);
-  input2 >> volume;
 
   PMP::orient_to_bound_a_volume(volume, true);
   if( !PMP::does_bound_a_volume(volume))