A weapon barrel of an automatic firearm contains a muzzle that is set into flexural oscillations by firing, with a damping device for damping the flexural oscillations by frictional processes between a radially projecting friction ring disposed on the muzzle and at least one friction element loaded by of a spring element. Wherein at least one friction element loaded by a separate spring element acts on both sides of the friction ring respectively and is supported so as to be axially movable relative to the muzzle.