The main goal of this paper is to create a computer crash model (up to the level of the double mass-spring-damper model, which is described by a system of two differential equations and where the stiffness and damping coefficients - physical parameters are calculated using the Matlab function Y = solve (eqns) - Equations and systems solver) using measured real data obtained from a frontal impact of a vehicle into a rigid barrier. The vehicle crash modelling process can be performed in two ways. One of them, which is also applied in this article, is based on the System Identification Toolbox, which contains MATLAB® functions, Simulink® blocks and a special application for compiling models of dynamic systems from measured I / O data.