A sound, flash and recoil suppressor for a firearm utilizing an outer tube or housing. Rear and front end caps are secured to the outer tube. A symmetrical blast baffle, and one or more asymmetrical baffles and spacers are typically positioned within the housing. The symmetrical blast baffle is the first baffle within the suppressor. It has a central hole, and one or more outer holes that are positioned near its periphery. Asymmetrical baffles consist of flat, elliptical plates that are positioned at an angle between 20 degrees and 80 degrees to the axis of the suppressor. The asymmetrical baffles may be arranged so that they are in parallel alignment, or they may be rotated slightly around the center of the bore's axis by up to 10 degrees right or left from each other.