A plurality of pairs of tubular members are secured at their lower ends in spaced relation on the roof or trunk lid of an automobile by conventional suction cups. One member of each pair has a socket in its upper end for receiving and supporting the goose neck portion of an inverted bicycle frame, and the other member of the pair has a cylindrical projection on its upper end adapted to slide snugly into the bore of the tubular seat post of a bicycle frame after the bicycle seat has been removed. Threaded rods extend between and adjustably separate the two support members of each pair; and the pairs of members are held in laterally spaced relation by a plurality of spacer bars which extend between adjacent pairs of support members. At least one of the spacer bars is a flexible torsion bar which permits at least one support member of a pair to be pivoted about its lower end slightly to adjust the space between the upper ends of the pair so that bike frames of different sizes can be held on the rack.