An anti-sway bicycle mount is provided. The bicycle mount includes a trough section, a collar section disposed adjacent to the trough section, a neck section disposed adjacent to the collar section, opposite the trough section, and a channel section disposed adjacent to the neck section, opposite the collar section. The trough section is adapted to receive a crossbar of a bicycle, the collar section is adapted to receive a support arm of a bicycle carrier, and the channel section is adapted to receive a tube member of the bicycle. The neck section facilitates forward and back motion of the channel section while restricting side to side movement of the channel section.