Abstract: A firearm suppressor with an integral muzzle brake that combines elements of muzzle brake, which comprises a plurality of radial/lateral ports that divert the high pressure propellant gas at an angle approximately perpendicular to the travel of the projectile thus reducing the recoil, with elements of a suppressor, which employs a plurality of axial baffles, each of which reduces the pressure, velocity and temperature of the propellant gas and before the gas is exhausted thus reducing the noise. Each individual axial stage has multiple subsequent radial/lateral chambers such that each axial stage has elements of a complete suppressor. Multiple expansion chambers each have an orifice connecting one expansion chamber to the next, and eventually vents to the external atmosphere. The exhaust port vents to the atmosphere and is directed radially or can be directed rearward to even further reduce the recoil in a similar fashion to a muzzle brake.