The study of vehicle crash process is of great importance in transportation safety. The crash pulses of vehicles during the fixed barrier impacts can reflect the crashworthiness of the vehicle structure. In this paper, a mathematical model of vehicle kinematics during the frontal crash is investigated. This work is based on the analysis of crash response signals and vehicle structure. The proposed model uses piecewise linear functions to describe the trend of crash impulse and ignores the residual oscillations. To study the model variance, the crashes in various speeds and a full car crash in complex condition are compared. At the end of paper, the crash performance of a vehicle crash is predicted according to the proposed model and therefore demonstrates its effectiveness and usability.