Abstract: The present invention provides a cover assembly for an exhaust muffler and tail pipe to reduce noise and eliminate corrosion. The cover assembly is advantageously formed from a pair of molded rigid fiber glass shells that can be fastened together about both the exhaust pipe and the muffler. Sandwiched about the muffler and exhaust pipe shells are layers of asbestos and spun glass. The shell itself is a combination of a fire retardant resin and fiber glass. The exhaust covering is particularly valuable in diesel exhaust systems for trucks.