In the article the model for forecasting of thermal processes arising during processing of bevel gears is presented. The kinematics of cutting is modeled due to the analytical model. Chipping is modeled using the finite element method. The experiment is based on the method of infrared photography of the cutting process. In the process of carrying out a numerical experiment, the graphs of the heat fields for the tool, the workpiece gear and chips were obtained, and an array of data on their change during the cutting process was achieved. The simulation results showed that the maximum temperatures and heat flows in the tool depend significantly on the choice of the rake and clearance angels of the cutting.