The work aims to study the drop shock characteristics of the system's quick-wear parts based on the double-degree-of-freedom model of tilted support system. With respect to the dimensionless drop shock dynamic equations of the system, the dynamic response of quick-wear parts' drop shock was obtained in the method of Runge-Kutta numerical analysis. Based on the numerical analysis, the effects of the support angle, the frequency ratio, the drop shock initial velocity and the damping ratio, etc. on the displacement and acceleration shock of quick-wear parts were analyzed. The analysis of the influencing factors on the peaks of displacement and acceleration shock of quick-wear parts demonstrated that, with the support angle decreasing, the displacement response peak increased; and the response period extended as the acceleration response peak decreased. With the increase of frequency ratio, the displacement shock peak and acceleration shock peak of quick-wear parts were reduced; with the initial velocity increasing, the displacement shock and acceleration shock peaks of quick-wear parts rose remarkably; furthermore, the optimal damping ratio of the system existed for the acceleration shock peak. To enable the tilted support spring system to obtain ideal vibration reduction and drop shock resistance characteristics, all relevant parameters should be comprehensively considered.