A rear suspension road bicycle frame uses an integrated rear shock absorbing assembly installed in a typical diamond bicycle frame with a head tube, down tube, top tube, seat tube, tubular chainstays, tubular seat stays, brake bridge at the top of the seat stays connecting them, the shock absorbing assembly having an elastomer shock absorbing spring member with a slide affixed to the brake bridge, and a sliding bearing in the upper wishbone so that the preloaded spring member absorbs shock and the frame absorbs flexing tending to unload the spring member.