A wheel support portion for a bicycle, such as a front fork assembly, arranged to reduce vibrations that originate at the bicycle wheel and are transmitted to the rider of the bicycle through the wheel support. Desirably, the front fork assembly is configured to be supported by a bicycle frame and includes a pair of fork legs, which extend in a downward direction along opposing sides of a front wheel of the bicycle. Preferably, the fork legs are configured to support the front wheel at their lower ends. An intermediate portion of each of the fork legs defines a cavity. A damping member comprised of a vibration damping material is positioned within the cavity. Preferably, the cavity passes completely through each fork leg in a lateral direction and the damping member is retained within the cavity by a friction fit therebetween.