A new bushing assembly robot assembly method is proposed to solve the print quality problems caused by the low accuracy of printing machine bushing assembly. The method is based on the laser positional measurement system, and the inverse kinematic analysis is conducted for 6-DOF to obtain the positional transformation volume, which is validated by simulation in Unity. The simulation results show that this method calculates the positional transformation quantity and achieves zero error in the attitude. In terms of position, it can be controlled within a circle with a radius of 0.03 mm in the radial plane of the ideal position, and the distance from the ideal position is less than 0.027 mm, and the result is consistent with the conception. The accuracy and reliability of the method are verified, which helps the platform to make accurate attitude adjustments.