The paper describes a computational reconstruction of an anti-aircraft artillery firing scenario and its use in analysing firing data. Computational reconstruction supported by 3D visualization can be a useful tool for evaluating soldiers’ training. A system for collecting, analysing and visualising the results of anti-aircraft artillery firing is described. The information collected can then be re-used to evaluate the effectiveness of soldiers’ training, and to make an optimal use of the available data. Particular attention is paid to the solution of the problem of restoring the trajectory of the target and the projectiles, and to their synchronisation in time.