Abstract: A bicycle rack is disclosed for supporting a bicycle in an upward standing position at the back end of a vehicle, with the bicycle lying in a plane extending substantially perpendicular from the transverse axis at the back end of the vehicle. The bicycle rack comprises a pair of side-by-side, elongate members spaced from each other so as to receive a tire and rim of a bicycle wheel between the elongate members. The elongate members are mounted to a rear bumper of a vehicle, with the pair of elongate members extending backwardly from the vehicle. A front lateral member extends between the pair of elongate members and lies alongside the front end of the bumper, and a rear lateral member extends between the distal ends of the pair of elongate members. An elongate slot is formed by the front lateral member, the pair of elongate members and the rear lateral member.