Abstract: The parallelogram suspension system can be used for both the front and rear wheels of a bicycle, individually or together. A rear parallelogram suspension system will absorb less propulsive energy than most large travel rear suspension systems, while offering greater travel and better adjustability than “pivotless” rear suspension systems. A front parallelogram suspension system will move in constant geometric alignment to the main frame of the bicycle, can have no play in the fore/aft or lateral directions, and can have no stiction, all characteristics that will give the bicycle better handling and control compared to the common telescopically compressing suspension fork. Front parallelogram suspensions will also have a much lower mass than these suspension forks, both in total mass and in moving mass.