In precision manufacturing processes surface integrity is of the utmost importance for the performance and life-cycle of the final products. An important aspect of surface integrity is associated with residual stresses induced in the workpiece during machining. According to the relevant literature, tool rake angle plays an important role on the features of residual stresses, regarding their magnitude and distribution within the workpiece. In this paper, numerical investigations with the use of the finite elements method are presented that allow the evaluation of the influence of the tool rake angle on residual stresses for the case of hard turning of stainless steel. The investigation is performed in a wide range of positive and negative rake angles. Numerical results verify the dominant role of tool rake angle on the residual stresses. The proposed models can be used for the a priori evaluation of the characteristics of compressive stresses that are considered favorable for the produced components.