Abstract: A self aligning trailer hitch, used by a driver alone without creating any personal lifting force, to couple and decouple a towing vehicle and a trailer, has a multiple piece assembly of a socket for securement to a towing vehicle, having a rotatable claw, which has a spherical recessed surface adapted to receive a portion of a lower ball of a vertical dual ball assembly, which is secured to a towed vehicle. Upon hitching the vehicles together, the rotatable claw contacts the lower ball, when this socket is moving horizontally, during movement of a towing vehicle toward the towed vehicle, causing the lower ball to be repositioned upwardly and over center, while being guided in a vertical plane, and then held in the radially upwardly repositioned spherical recessed surface of the rotatable claw. A three dimensional ramp guides the lower ball to fully contact the spherical recessed surface of the rotatable claw.