In order to improve the stability and reliability of firefighting robot, a dynamic model of a new firefighting robot with single wheel suspension system was established by using the ADAMS. Based on the dynamics and impact collision principle of tracktype mobile robot, a stochastic pavement excitation model was established in MATLAB/Simulink, the plane mathematical model was simplified to build foundation and parameterizing analysis for the singlewheel suspension system was made. The kinematic analysis and dynamic simulation analysis under Dclass stochastic simulation pavement conditions were carried out to study the influence of the torsion barliquid damper on the performance of firefighting robot suspension system. The results show that the torsion barliquid damper suspension system model is simple, stable and reliable, with nonlinear, variable damping and other characteristics.