The effect of cutting tool geometry on cutting process is very prominent and cannot be ignored, especially the interactions between tool geometries. In this study, the effects of the rake angle, the clearance angle, the cutting edge radius and the interaction between rake angle and clearance angle on cutting force and cutting temperature are numerically investigated using finite element method. Four-factor three-lever orthogonal experimental design is adopted in the finite element simulation of orthogonal cutting process. An analysis of range is performed to identify significant trends in the cutting force and cutting temperature and the optimal level values of each factor. The result shows that the effect of the rake angle on cutting force is significant. The effect of interaction between rake angle and clearance angle on cutting temperature also appeared to be important. Finally, the optimal parameter combinations of tool geometries for cutting force and cutting temperature are obtained, respectively.