A gun rail accessory mounting system that is symmetrical in both the Y axis, forward to backwards plane, and in the Z axis, over and under plane is described. Additionally, the two mounting brackets can have similar external dimensions and form factors to allow full 3 axis symmetry. This symmetry allows for an accessory to be mounted on gun rails of the PICATINNY, WEAVER, GLOCK, or any other rail type, where a recoil locking slot is used.