diff --git a/Constrained_triangulation_3/include/CGAL/make_conforming_constrained_Delaunay_triangulation_3.h b/Constrained_triangulation_3/include/CGAL/make_conforming_constrained_Delaunay_triangulation_3.h
index 958f4630556..3a4d846066c 100644
--- a/Constrained_triangulation_3/include/CGAL/make_conforming_constrained_Delaunay_triangulation_3.h
+++ b/Constrained_triangulation_3/include/CGAL/make_conforming_constrained_Delaunay_triangulation_3.h
@@ -114,6 +114,15 @@ namespace CGAL {
  *                   Faces with the same patch identifier are considered part of the same surface patch.}
  *   \cgalParamNEnd
  *
+ *   \cgalParamNBegin{check_preconditions}
+ *     \cgalParamDescription{a boolean activating the check of preconditions on the input
+ *                           before starting to construct the triangulation.
+ *                           If the check is activated and the preconditions not satisfied,
+ *                           the constructed triangulation is empty.}
+ *     \cgalParamType{Boolean}
+ *     \cgalParamDefault{`false`}
+ *   \cgalParamNEnd
+ *
  *   \cgalParamNBegin{geom_traits}
  *     \cgalParamDescription{an instance of a geometric traits class}
  *     \cgalParamType{`Traits` as defined above in the section \ref make_conforming_constrained_Delaunay_triangulation_3_returned_type}
@@ -177,6 +186,15 @@ auto make_conforming_constrained_Delaunay_triangulation_3(const PolygonMesh &mes
  *   \cgalParamExtra{Otherwise faces with the same patch identifier are considered part of the same surface patch.}
  *   \cgalParamNEnd
  *
+ *   \cgalParamNBegin{check_preconditions}
+ *     \cgalParamDescription{a boolean activating the check of preconditions on the input
+ *                           before starting to construct the triangulation.
+ *                           If the check is activated and the preconditions not satisfied,
+ *                           the constructed triangulation is empty.}
+ *     \cgalParamType{Boolean}
+ *     \cgalParamDefault{`false`}
+ *   \cgalParamNEnd
+ *
  *   \cgalParamNBegin{geom_traits}
  *     \cgalParamDescription{an instance of a geometric traits class}
  *     \cgalParamType{`Traits` as defined above in the section \ref make_conforming_constrained_Delaunay_triangulation_3_returned_type}
diff --git a/STL_Extension/include/CGAL/STL_Extension/internal/parameters_interface.h b/STL_Extension/include/CGAL/STL_Extension/internal/parameters_interface.h
index 305527636c1..2172d5b8ae5 100644
--- a/STL_Extension/include/CGAL/STL_Extension/internal/parameters_interface.h
+++ b/STL_Extension/include/CGAL/STL_Extension/internal/parameters_interface.h
@@ -321,6 +321,9 @@ CGAL_add_named_parameter(preserve_order_t, preserve_order, preserve_order)
 CGAL_add_named_parameter(adjust_directions_t, adjust_directions, adjust_directions)
 CGAL_add_named_parameter(segment_t, segment_map, segment_map)
 
+// List of named parameters using in Constrained_triangulation_3
+CGAL_add_named_parameter(check_preconditions_t, check_preconditions, check_preconditions)
+
 // List of named parameters used in Mesh_2 package
 CGAL_add_named_parameter_with_compatibility(seeds_t, seeds, seeds)
 CGAL_add_named_parameter_with_compatibility(domain_is_initialized_t, domain_is_initialized, domain_is_initialized)