Abstract: The rear wheel of a bike is journaled in a pair of spaced, parallel plates, which are adjustably secured to the outer ends of two pairs of rigid suspension bars, the inner ends of which are mounted to pivot on a cycle frame about axes parallel to axes of the bike's wheels. Two of the bars are pivotal one above the other at one side of the cycle, and two are pivotally mounted in a similar manner at the opposite side of the cycle and are held in lateral registry with the first pair by transverse brackets. One or more shocks are interposed between the frame and one of said transverse brackets to resist upward movement of the suspension bars; and a pair of adjustable leaf springs are mounted at each side of the frame and have free ends engaging a pair of suspension members also to resist upward, pivotal movement thereof relative to the frame.