A firearm sound suppressor cooling system comprising a sound suppressor housing with means for reducing the pressure of gases exiting from a discharged firearm with a shroud that is attached to the exterior of the sound suppressor housing, an annular chamber formed between the sound suppressor housing and the shroud, and a nozzle positioned at the distal end of the sound suppressor and the shroud. The nozzle produces a suction effect upon discharge of the firearm and due to the suction effect, ambient air is aspirated through the annular chamber, and cools the firearm sound suppressor.