A noise suppressor for mounting on a distal end of a rifle barrel. The suppressor is made up of an inner core component and an outer sleeve component which is received about the inner core component, creating a gas-receiving chamber between the two. The inner core component an internally threaded, barrel receiving end which receives and engages the exteriorly threaded end of the rifle barrel in overlapping fashion, an oppositely arranged exteriorly threaded end, and a central bore between the two ends which allows the passage of a bullet when the bullet is fired, firing of the bullet also setting off hot exhaust gases in the central bore. The inner core component has window openings for exhausting hot gases from the inner chamber into the surrounding outer chamber and also has an exterior longitudinal region forward of the central chamber, the exterior region having a series of longitudinally aligned, upwardly extending teeth formed therein for diverting the hot, high speed gases contacting the upwardly extending teeth.