The article deals with the motion of the breech block carrier and the weapon casing of an automatic weapon mounted on a flexible carriage and the base of the weapon. Earlier works, which did not consider the dynamic properties of the base of the weapon, did not allow to reconcile the calculated and experimental results of the weapon casing displacement when shooting from firing rests. For the analysis of the motion of individual parts, the methods of mathematical modelling and firing experiments using a high-speed camera were chosen. Calculations show the best accord with experiment when modelling the system with 4 degrees of freedom. The oscillation of the system regarding the movement of the breech block carrier and the weapon casing was investigated under changed conditions of rate of fire, the use of a muzzle brake and different types of shock absorbers. The velocities and displacements of the weapon casing and the breech block carrier at different values of the impulse of the gases to the breech block carrier were determined.