The paper discussed the modelling, examination of the dynamic properties and stability of the WW-4 launcher of unguided short-range missiles NLPR-70. Remotely controlled armament module ZSMU-70, in the presented configuration, is designed to combat ground targets in form of light armoured vehicles. The purpose of this paper is to present a physical model, a mathematical model and computer simulation of launcher motion during launching and the first phase of flight of the missile. The virtual model is formulated in the vertical plane and verified by experimental studies. The theoretical model corresponds to experimental studies conducted at the military testing ground with application of a high-speed camera.