diff --git a/Arrangement_on_surface_2/include/CGAL/Arr_counting_traits_2.h b/Arrangement_on_surface_2/include/CGAL/Arr_counting_traits_2.h
index 7aa1fded18f..4ca915aa7d9 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arr_counting_traits_2.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arr_counting_traits_2.h
@@ -85,18 +85,17 @@ public:
   typedef Arr_counting_traits_2<Base>           Self;
 
   /*! Construct default */
-  Arr_counting_traits_2() : Base()
+  template<typename ... Args>
+  Arr_counting_traits_2(Args ... args) :
+    Base(args...)
   {
     clear_counters();
     increment();
   }
 
-  /*! Construct copy */
-  Arr_counting_traits_2(const Arr_counting_traits_2& other) : Base(other)
-  {
-    clear_counters();
-    increment();
-  }
+  /*! Disable copy constructor.
+   */
+  Arr_counting_traits_2(const Arr_counting_traits_2&) = delete;
 
   /*! Obtain the counter of the given operation */
   size_t count(Operation_id id) const
diff --git a/Arrangement_on_surface_2/include/CGAL/Arr_tracing_traits_2.h b/Arrangement_on_surface_2/include/CGAL/Arr_tracing_traits_2.h
index 042c6cfd0df..15dc5429f10 100644
--- a/Arrangement_on_surface_2/include/CGAL/Arr_tracing_traits_2.h
+++ b/Arrangement_on_surface_2/include/CGAL/Arr_tracing_traits_2.h
@@ -162,7 +162,7 @@ private:
   { return m_flags & (0x1 << COMPARE_X_NEAR_BOUNDARY_OP); }
 
 public:
-  /*! Default constructor */
+  /*! Construct default */
   template<typename ... Args>
   Arr_tracing_traits_2(Args ... args) :
     Base(args...)
@@ -170,6 +170,10 @@ public:
     enable_all_traces();
   }
 
+  /*! Disable copy constructor.
+   */
+  Arr_tracing_traits_2(const Arr_tracing_traits_2&) = delete;
+
   /*! Enable the trace of a traits operation
    * \param id the operation identifier
    */