Abstract: A rack for carrying bicycles on the rear of a motor vehicle equipped with a trailer hitch which has an "L" shaped mounting leg (20) with a horizontal member (24) that slides into a draw bar of a class 3 trailer hitch. A rotatable beam (36) is disposed within a hole in the mounting leg and a pair of arms (44) are removably fixed one near each end. The arms are in U-shape and are made in two parts removable by a slip joint (48). The arms hold the bicycles therebetween onto the frames and one of the sections of each arm is removable allowing the arm to be locked around the bicycle frame. Padlocks (34) or pins (32) and (42) with spring clips lock the rack in place and the bicycles onto the rack. A second embodiment attaches to a class 1 or 2 trailer hitch and is identical, except the "L" shaped mounting leg is replaced by a vertical column (62) and a stud (66) interfaces with the hitch.