In this research, a rigid ball impacting on an elastic half space with lubricant in-between is modeled by using the modified Reynolds equation, which considers the coupled effects of Navier-slip and flow rheology, the ball motion equation, and the deformation equations. In the impact-PEHL point contact problems, the deformation mechanism consists of the elastic deformation based on linear elasticity, and the plastic deformation based on flow rule and hardening model as the von Mises stress is greater than the yielding strength. The elastic-perfectly plastic (EPP) model is used first for basic studies, and the linear hardening model is used for further discussion. The impact-EHL model overestimates the central pressure, impact load and minimum film thickness, while underestimating central film thickness and the position of minimum film thickness occurrence as compared to the present results from the impact-PEHL model. As the slip length increases or the flow index decreases, the central film thickness decreases. For shear thickening fluid (n>1), the effects of slip weaken the shear thickening effects, and make the central film thickness closer to that of Newtonian fluid without slip. The effects of slip on the pressure distributions seem insignificant due to the force balance, and thus the central pressure and the elastic/plastic deformation. Moreover, the strain-hardening effects show the inhomogeneous yielding strength after one impact.