A suspension for use on two front/rear wheels of a tricycle includes a linking assembly comprising two H-shaped lower supports, two H-shaped upper supports, two coupling members each secured to a hub of the front/rear wheel, and a plurality of internally threaded linkages for pivotably securing the upper supports together, pivotably securing the lower supports together, and pivotably fastening each coupling member between the upper support and the lower support at the same side together; and an elongated shock absorber having both ends secured the upper supports.