To study the pose state and coordinate transformation of different tool positions by establishing the interpolation equations,and obtain the mathematical model between the coordinate systems,and verify the validity according to the simulation results. Based on the five-axis CNC machine tool,the interpolation equations are established,and the interpolation models of different machining directions are analyzed; using the homogeneous matrix transformation method and the numerical assignment inverse algorithm,combined with the classical DH method in robotics,the mathematical model between the coordinate systems is established,and the pose state of the machine tool holder is realized,and the coordinate values of each axis motion are obtained.And kinematics equations; spatial trajectory planning and kinematics simulation using MATALB and ADAMS. Through simulation analysis,the results show that the pose and stability of the dynamic tool holder during the machining process meet the requirements of the previous design,and the overall motion performance of the machine tool is good. Conclusion: The tool is moving in accordance with the trajectory law of the design,which verifies the validity and rationality of the method.