The existence of clearance in the motion joints of multi-body systems can significantly influence the dynamic responses. Distinguished from the previous studies, the inclination characteristics of the slider, which are crucial in the stamping forming process, are analyzed in this paper. To achieve a higher analysis accuracy, lubrication actions are introduced to the dynamic equations, and contact forces evaluated by the L-N dry contact model are also considered. Numerical simulations were carried out to investigate the influence of clearance size and crank speed. Then, Poincaré maps and spectrum graphs were adopted to indicate the regularity of the system responses. Furthermore, experimental validations were achieved based on the testing system for a mechanical press. It indicates that the translational clearance joint can play a vital role in the slider inclination issue, and will lead the system dynamics into chaos with a specific range of parameters.