diff --git a/Kinetic_data_structures/include/CGAL/Kinetic/internal/Kernel/Cartesian_moving_point_1.h b/Kinetic_data_structures/include/CGAL/Kinetic/internal/Kernel/Cartesian_moving_point_1.h
index 7763e4e5662..65b444e3c4b 100644
--- a/Kinetic_data_structures/include/CGAL/Kinetic/internal/Kernel/Cartesian_moving_point_1.h
+++ b/Kinetic_data_structures/include/CGAL/Kinetic/internal/Kernel/Cartesian_moving_point_1.h
@@ -51,6 +51,10 @@ public:
   //! null
   Cartesian_moving_point_1(){}
 
+  bool operator==(const Cartesian_moving_point_1 &o) const {
+    return x() == o.x();
+  }
+
   //! homogeneous x
   const Coordinate &hx() const
   {