diff --git a/Spatial_searching/include/CGAL/Search_traits_2.h b/Spatial_searching/include/CGAL/Search_traits_2.h
index b3236cbc902..01ddf08fd0c 100644
--- a/Spatial_searching/include/CGAL/Search_traits_2.h
+++ b/Spatial_searching/include/CGAL/Search_traits_2.h
@@ -31,7 +31,7 @@ namespace CGAL {
   class Search_traits_2 {
 
   public:
-    typedef typename Dimension_tag<2> Dimension;
+    typedef Dimension_tag<2> Dimension;
     typedef typename K::Point_2 Point_d;
     typedef typename K::Iso_rectangle_2 Iso_box_d;
     typedef typename K::Circle_2 Sphere_d;
diff --git a/Spatial_searching/include/CGAL/Search_traits_3.h b/Spatial_searching/include/CGAL/Search_traits_3.h
index a92dd9e2dad..70439589f32 100644
--- a/Spatial_searching/include/CGAL/Search_traits_3.h
+++ b/Spatial_searching/include/CGAL/Search_traits_3.h
@@ -32,7 +32,7 @@ namespace CGAL {
 
   public:
 
-   typedef typename Dimension_tag<3> Dimension;
+    typedef Dimension_tag<3> Dimension;
     typedef typename K::Cartesian_const_iterator_3 Cartesian_const_iterator_d;
     typedef typename K::Construct_cartesian_const_iterator_3 Construct_cartesian_const_iterator_d;
     typedef typename K::Point_3 Point_d;