Many techniques for improving the accuracy of a cutting process simulation using the finite element method have been developed. However, the frictional force and stress between a work material and a tool material cannot be estimated before material cutting when a new tool material and a new work material are developed. This leads to considerable loss of time for the material development. This study aims at developing a method for predicting the frictional-force and frictional-stress distribution on the rake face of a cutting tool before the actual material is manufactured. In this study, electron theory analysis is used and the phenomenon theory using the Langevin equation is proposed. The results obtained from the phenomenon theory agree with the experimental results well. The frictional force is estimated by the theoretical analysis of the molecular orbital method during the cutting process. In addition, the stress distribution is approximated by assuming the real contact area.