The invention relates to an exhaust pipe assembly. There is a need for an exhaust pipe assembly which transmits less noise to the environment. The exhaust pipe assembly includes a hollow exhaust pipe, and a hollow shield which surrounds at least a portion of the pipe. The shield is supported from and separated from the pipe by a plurality of elastomeric support elements which are interposed between the pipe and the shield. Each support element includes a larger body positioned between the pipe and the shield, and a smaller stem which projects from the body and extends into a bore formed in the shield. Each support element is preferably formed by injecting an elastomeric material through a corresponding one of the bores to form the body in the space between the pipe and the shield.