diff --git a/Generator/examples/Generator/random_points_in_triangles_2.cpp b/Generator/examples/Generator/random_points_in_triangles_2.cpp
new file mode 100644
index 00000000000..3332408ea08
--- /dev/null
+++ b/Generator/examples/Generator/random_points_in_triangles_2.cpp
@@ -0,0 +1,36 @@
+#include <CGAL/Simple_cartesian.h>
+#include <CGAL/point_generators_2.h>
+
+#include <iostream>
+#include <fstream>
+using namespace CGAL;
+typedef Simple_cartesian<double>                           K;
+typedef K::Point_2                                         Point;
+
+
+int main()
+{
+ // Generated points are in that vector
+  std::vector<Point> points;
+  // Create input triangles
+  std::vector<K::Triangle_2> triangles;
+  for(int i=0; i< 5; ++i)
+  {
+    triangles.push_back(K::Triangle_2(Point(i,0), Point(i+1,0), Point(i+0.5,1)));
+  }
+
+  // Create the generator, input is the vector of Triangle_2
+  Random_points_in_triangles_2<Point> g(triangles);
+  // Get 100 random points in cdt
+  CGAL::cpp11::copy_n(g, 1000, std::back_inserter(points));
+
+  // Check that we have really created 100 points.
+  assert( points.size() == 1000);
+
+  // print the first point that was generated
+  std::cout << points[0] << std::endl;
+
+  return 0;
+}
+
+
diff --git a/Generator/include/CGAL/point_generators_2.h b/Generator/include/CGAL/point_generators_2.h
index 5d61de79788..52fc3be45fe 100644
--- a/Generator/include/CGAL/point_generators_2.h
+++ b/Generator/include/CGAL/point_generators_2.h
@@ -1,4 +1,4 @@
-// Copyright (c) 1997  
+// Copyright (c) 1997
 // Utrecht University (The Netherlands),
 // ETH Zurich (Switzerland),
 // INRIA Sophia-Antipolis (France),
@@ -595,6 +595,66 @@ public:
  }
 };
 
+namespace internal
+{
+template<class T>
+class Deref
+{
+public:
+ typedef typename std::iterator_traits<T>::value_type result_type;
+  typename std::iterator_traits<T>::value_type operator()(T triangle)const
+  {
+    return *triangle;
+  }
+};
+
+template<class A>
+struct Address_of{
+  typedef const A* result_type;
+  const A* operator()(const A& a) const
+  {
+    return &a;
+  }
+};
+
+}//namesapce internal
+
+template <class Point_2>
+class Random_points_in_triangles_2 : public Generic_random_point_generator<
+   const typename Kernel_traits<Point_2>::Kernel::Triangle_2*,
+   internal::Deref<const typename Kernel_traits<Point_2>::Kernel::Triangle_2*>,
+   Random_points_in_triangle_2<Point_2> ,
+   Point_2> {
+public:
+ typedef typename Kernel_traits<Point_2>::Kernel::Triangle_2       Triangle_2;
+ typedef Generic_random_point_generator<
+ const typename Kernel_traits<Point_2>::Kernel::Triangle_2*,
+ internal::Deref<const Triangle_2*>,
+ Random_points_in_triangle_2<Point_2> ,Point_2>                    Base;
+ typedef const Triangle_2*                                         Id;
+ typedef Point_2                                                   result_type;
+ typedef Random_points_in_triangles_2<Point_2>                     This;
+
+ template<typename TriangleRange>
+ Random_points_in_triangles_2( const TriangleRange& triangles, Random& rnd = default_random)
+  : Base(make_range( boost::make_transform_iterator(triangles.begin(), internal::Address_of<Triangle_2>()),
+                     boost::make_transform_iterator(triangles.end(), internal::Address_of<Triangle_2>()) ),
+         internal::Deref<const Triangle_2*>(),
+         typename Kernel_traits<Point_2>::Kernel::Compute_area_2()
+         ,rnd )
+ {
+ }
+ This& operator++() {
+  Base::generate_point();
+  return *this;
+ }
+ This operator++(int) {
+  This tmp = *this;
+  ++(*this);
+  return tmp;
+ }
+};
+
 } //namespace CGAL
 #endif // CGAL_POINT_GENERATORS_2_H //
 // EOF //
diff --git a/Generator/include/CGAL/point_generators_3.h b/Generator/include/CGAL/point_generators_3.h
index 53dfdbdade5..fd05031ba74 100644
--- a/Generator/include/CGAL/point_generators_3.h
+++ b/Generator/include/CGAL/point_generators_3.h
@@ -469,27 +469,6 @@ public:
  }
 };
 
-namespace internal
-{
-template<class T>
-class Deref
-{
-public:
- typedef typename std::iterator_traits<T>::value_type result_type;
-  typename std::iterator_traits<T>::value_type operator()(T triangle)const
-  {
-    return *triangle;
-  }
-};
-template<class A>
-struct Address_of{
-  typedef const A* result_type;
-  const A* operator()(const A& a) const
-  {
-    return &a;
-  }
-};
-}//namesapce internal
 
 template <class Point_3>
 class Random_points_on_triangles_3 : public Generic_random_point_generator<
diff --git a/Generator/test/Generator/generic_random_test.cpp b/Generator/test/Generator/generic_random_test.cpp
index 78b6e559a75..df92f9fdf75 100644
--- a/Generator/test/Generator/generic_random_test.cpp
+++ b/Generator/test/Generator/generic_random_test.cpp
@@ -30,6 +30,40 @@ typedef CGAL::Polygon_2<K>                                        Polygon_2;
 using namespace CGAL;
 
 
+int test_triangles_2()
+{
+  typedef K::Point_2                                         Point;
+
+  // Generated points are in that vector
+  std::vector<Point> points;
+  // Create input triangles
+  std::vector<K::Triangle_2> triangles;
+    triangles.push_back(K::Triangle_2(Point(0,0), Point(0.5,0), Point(0,0.5)));
+    triangles.push_back(K::Triangle_2(Point(0,0.5), Point(0.5,0), Point(0.5,0.5)));
+
+  // Create the generator, input is the vector of Triangle_2
+  Random_points_in_triangles_2<Point> g(triangles);
+  // Get 100 random points in triangle range
+  CGAL::cpp11::copy_n(g, 100, std::back_inserter(points));
+
+  // Check that we have really created 100 points.
+  assert( points.size() == 100);
+
+  BOOST_FOREACH(Point p, points)
+  {
+    bool on_quad = p.x() > -0.01 && p.x() < 0.51
+        && p.y() > -0.01 && p.y() < 0.51;
+    if(!on_quad)
+    {
+      std::cerr<<p<<std::endl;
+      std::cerr<<"ERROR : Generated point is not on the triangle range."<<std::endl;
+      return 0;
+    }
+  }
+
+  return 1;
+}
+
 int test_triangles_3()
 {
   typedef K::Point_3                                         Point;
@@ -45,7 +79,7 @@ int test_triangles_3()
 
   // Create the generator, input is the vector of Triangle_3
   Random_points_on_triangles_3<Point> g(triangles);
-  // Get 100 random points in cdt
+  // Get 100 random points in triangle range
   CGAL::cpp11::copy_n(g, 100, std::back_inserter(points));
 
   // Check that we have really created 100 points.
@@ -236,8 +270,9 @@ main( )
 
 
   int validity =
-      test_triangles_3()
-       *test_volume_mesh(polyhedron)
+      test_triangles_2()
+      *test_triangles_3()
+      *test_volume_mesh(polyhedron)
       *test_T2()
       *test_on_c3t3(polyhedron)
       *test_in_c3t3(polyhedron)