diff --git a/Intersections_3/test/Intersections_3/create_bbox_mesh.h b/Intersections_3/test/Intersections_3/create_bbox_mesh.h
new file mode 100644
index 00000000000..6ba58028eb1
--- /dev/null
+++ b/Intersections_3/test/Intersections_3/create_bbox_mesh.h
@@ -0,0 +1,64 @@
+// used by test_intersections_3.cpp
+
+#include <CGAL/Modifier_base.h>
+#include <CGAL/Bbox_3.h>
+#include <CGAL/Polyhedron_incremental_builder_3.h>
+
+const int cube[][3] = { { 0, 1, 3 },
+                        { 3, 1, 2 },
+                        { 0, 4, 1 },
+                        { 1, 4, 5 },
+                        { 3, 2, 7 },
+                        { 7, 2, 6 },
+                        { 4, 0, 3 },
+                        { 7, 4, 3 },
+                        { 6, 4, 7 },
+                        { 6, 5, 4 },
+                        { 1, 5, 6 },
+                        { 2, 1, 6 } };
+
+template <typename Polyhedron>
+struct Build_bbox_mesh :
+  public CGAL::Modifier_base<typename Polyhedron::HalfedgeDS>
+{
+  CGAL::Bbox_3 bbox;
+
+public:
+  Build_bbox_mesh(CGAL::Bbox_3 b)
+    : bbox(b)
+  {}
+
+  typedef typename Polyhedron::HalfedgeDS HDS;
+
+  void operator()(HDS& hds) {
+    CGAL::Polyhedron_incremental_builder_3<HDS> B( hds, true);
+    B.begin_surface( 8, 12, 24);
+    typedef typename HDS::Vertex   Vertex;
+    typedef typename Vertex::Point Point;
+    B.add_vertex( Point( bbox.xmin(), bbox.ymin(), bbox.zmin())); // -1 -1 -1
+    B.add_vertex( Point( bbox.xmin(), bbox.ymax(), bbox.zmin())); // -1 1 -1
+    B.add_vertex( Point( bbox.xmax(), bbox.ymax(), bbox.zmin())); // 1 1 -1
+    B.add_vertex( Point( bbox.xmax(), bbox.ymin(), bbox.zmin())); // 1 -1 -1
+    B.add_vertex( Point( bbox.xmin(), bbox.ymin(), bbox.zmax())); // -1 -1 1
+    B.add_vertex( Point( bbox.xmin(), bbox.ymax(), bbox.zmax())); // -1 1 1
+    B.add_vertex( Point( bbox.xmax(), bbox.ymax(), bbox.zmax())); // 1 1 1
+    B.add_vertex( Point( bbox.xmax(), bbox.ymin(), bbox.zmax())); // 1 -1 1
+    for(int i = 0; i < 12; ++i) {
+      B.begin_facet();
+      B.add_vertex_to_facet( cube[i][0]);
+      B.add_vertex_to_facet( cube[i][1]);
+      B.add_vertex_to_facet( cube[i][2]);
+      B.end_facet();
+    }
+    B.end_surface();
+  }
+};
+
+template <typename Polyhedron>
+const Polyhedron create_bbox_mesh(const CGAL::Bbox_3& bbox)
+{
+  Polyhedron result;
+  Build_bbox_mesh<Polyhedron> build_bbox(bbox);
+  result.delegate(build_bbox);
+  return result;
+}
diff --git a/Intersections_3/test/Intersections_3/test_intersections_3.cpp b/Intersections_3/test/Intersections_3/test_intersections_3.cpp
index b02d362d080..a7fddfac09c 100644
--- a/Intersections_3/test/Intersections_3/test_intersections_3.cpp
+++ b/Intersections_3/test/Intersections_3/test_intersections_3.cpp
@@ -7,9 +7,16 @@
 #include <CGAL/Homogeneous.h>
 #include <CGAL/MP_Float.h>
 
+#include <CGAL/AABB_tree.h>
+#include <CGAL/AABB_traits.h>
+#include <CGAL/AABB_face_graph_triangle_primitive.h>
+#include <CGAL/Polyhedron_3.h>
+
 #include <iostream>
 #include <cassert>
 
+#include "create_bbox_mesh.h"
+
 const double epsilon = 0.001;
 
 struct randomint {
@@ -467,6 +474,30 @@ struct Test {
     check_intersection<S>  (box,R(P(0, 0.5,0),P(-0.5,0,0)));
   }
 
+  void Bbox_Tr() {
+    std::cout << "Bbox - Triangle\n";
+
+    typedef CGAL::Polyhedron_3<K> Polyhedron;
+    typedef CGAL::AABB_face_graph_triangle_primitive<const Polyhedron> Primitive;
+    typedef CGAL::AABB_traits<K, Primitive> Traits;
+    typedef CGAL::AABB_tree<Traits> Tree;
+
+    Bbox unit_bbox(-1., -1., -1.
+                   ,1.,  1.,  1.);
+    const Polyhedron unit_bbox_poly = create_bbox_mesh<Polyhedron>(unit_bbox);
+    const Tree tree(unit_bbox_poly.facets_begin(),
+                    unit_bbox_poly.facets_end(),
+                    unit_bbox_poly);
+
+    const Tr tr(P(-3. ,  0. ,   0.),
+                P(-2. ,  0.1,   0.),
+                P(-0.5,  3. ,   0.));
+
+    const bool b = CGAL::do_intersect(unit_bbox, tr);
+    assert(b == false);
+    assert(tree.do_intersect(tr) == b);
+  }
+
   void run()
   {
     std::cout << "3D Intersection tests\n";
@@ -486,6 +517,7 @@ struct Test {
     R_R();
     Bbox_L();
     Bbox_R();
+    Bbox_Tr();
   }
 
 };