Due to various factors, a solid frontal collision can not be achieved for automobiles in the process of a frontal low-speed collision. Therefore, the non-linear finite element LS-DYNA simulation software has been used to simulate the frontal low-speed collision with ±6 degrees of direction deviation. On the basis of ensuring that the energy-absorbing box can absorb some energy during the frontal collision, the collision angle deviation can also improve the energy absorption performance for the energy absorption box, thus helping to secure the safety of vehicles and occupants. By defining the objective optimization function, an optimized design of the energy-absorbing box has been carried out based on the simulation research, thus obtaining the numerical values of the impact energy absorption of the optimized energy absorption box and the change of collision energy absorption with changed collision angles, as well as working out the design variables of the energy absorbing box with the best energy absorption performance, namely, with the thickness of energy absorbing box wall being1.5 mm, its length 180 mm and the number of edges 6. Under this structure, the T value of the energy absorbing box reaches its minimum when the angle deviation of the collision is ±6 degrees.