A muffler suspension kit for use in attaching a replacement or original catalytic converter, or exhaust pipe muffler to a vehicle includes a flexible clamping band formed of stainless or regular steel. The clamping band extends around a replacement muffler and clamps an angle-shaped suspension bracket against a muffler. The suspension bracket has a plurality of apertures therein for connection to one or more elongate, longitudinally, adjustable J-hooks. The J-hooks are connected to grommets on the vehicle for attaching the muffler to the vehicle. The selective position of attachment of the J-hooks to the suspension bracket and the longitudinal adjustability of the J-hooks provides a wide range of adjustment when attaching a muffler to a vehicle.