diff --git a/BGL/test/BGL/test_bgl_read_write.cpp b/BGL/test/BGL/test_bgl_read_write.cpp
index c3f86c6c3d4..7a7906eb402 100644
--- a/BGL/test/BGL/test_bgl_read_write.cpp
+++ b/BGL/test/BGL/test_bgl_read_write.cpp
@@ -374,7 +374,7 @@ void test_bgl_OBJ(const std::string filename)
   std::ifstream is(filename);
   bool ok = CGAL::read_OBJ(is, fg);
   assert(ok);
-  assert(filename != "data/sphere.obj" || (num_vertices(fg) == 162 && num_faces(fg) == 320));
+  assert(filename != "data/sphere.obj" || (num_vertices(fg) == 324 && num_faces(fg) == 640));
 
   // write with OBJ
   {
@@ -404,7 +404,7 @@ void test_bgl_OBJ(const std::string filename)
   clear(fg);
   ok = CGAL::read_OBJ("data/sphere.obj", fg);
   assert(ok);
-  assert(num_vertices(fg) == 162 && num_faces(fg) == 320);
+  assert(num_vertices(fg) == 324 && num_faces(fg) == 640);
 
   // write with OBJ
   {
diff --git a/Stream_support/include/CGAL/IO/OBJ.h b/Stream_support/include/CGAL/IO/OBJ.h
index 913e4a024a9..f057e5e6985 100644
--- a/Stream_support/include/CGAL/IO/OBJ.h
+++ b/Stream_support/include/CGAL/IO/OBJ.h
@@ -56,11 +56,13 @@ bool read_OBJ(std::istream& is,
   set_ascii_mode(is); // obj is ASCII only
 
   int mini(1), maxi(-1);
+  bool first_o = true;
   std::string s;
   Point p;
 
   std::string line;
   bool tex_found(false), norm_found(false);
+  std::size_t offset_idx=0;
   while(getline(is, line))
   {
     if(line.empty())
@@ -69,6 +71,32 @@ bool read_OBJ(std::istream& is,
     std::istringstream iss(line);
     if(!(iss >> s))
       continue; // can't read anything on the line, whitespace only?
+    if(s == "o")
+    {
+      if(!first_o)
+      {
+        if(maxi == offset_idx -1 && mini == offset_idx + 1)
+        {
+          if(verbose)
+            std::cerr << "No face detected." << std::endl;
+          return false;
+        }
+
+        if(maxi > static_cast<int>(points.size()-offset_idx) || mini < -static_cast<int>(points.size()-offset_idx))
+        {
+          if(verbose)
+            std::cerr << "a face index is invalid " << std::endl;
+          return false;
+        }
+        mini = 1;
+        maxi = -1;
+      }
+      else
+      {
+        first_o = false;
+      }
+      offset_idx = points.size();
+    }
 
     if(s == "v")
     {
@@ -97,13 +125,13 @@ bool read_OBJ(std::istream& is,
       {
         if(i < 1)
         {
-          faces.back().push_back(points.size() + i); // negative indices are relative references
+          faces.back().push_back(points.size()+offset_idx + i); // negative indices are relative references
           if(i < mini)
             mini = i;
         }
         else
         {
-          faces.back().push_back(i-1);
+          faces.back().push_back(i+offset_idx-1);
           if(i-1 > maxi)
             maxi = i-1;
         }
@@ -126,15 +154,14 @@ bool read_OBJ(std::istream& is,
     std::cout<<"WARNING: normals were found in this file, but were discarded."<<std::endl;
   if(tex_found && verbose)
     std::cout<<"WARNING: textures were found in this file, but were discarded."<<std::endl;
-
-  if(maxi == -1 && mini == 1)
+  if(maxi == offset_idx -1 && mini == offset_idx + 1)
   {
     if(verbose)
       std::cerr << "No face detected." << std::endl;
     return false;
   }
 
-  if(maxi > static_cast<int>(points.size()) || mini < -static_cast<int>(points.size()))
+  if(maxi > static_cast<int>(points.size()-offset_idx) || mini < -static_cast<int>(points.size()-offset_idx))
   {
     if(verbose)
       std::cerr << "a face index is invalid " << std::endl;