In the servomechanism control of laser communication optical transceivers, the equivalent compound control technology based on speed and acceleration lag compensation greatly improves the tracking as well as aiming accuracy of the optical transceiver while having little impact on the system stability. First, this study establishes the two-way tracking and aiming model for the satellite laser communication terminal, and thereafter analyzes the source of working disturbance on the optical terminal leading to solve the equivalent sinusoidal signal of motion and disturbance. Based on the double-loop closed-loop control of speed and position, the study of equivalent compound control technology is carried out. Through the variance-based sensitivity analysis of control parameters, the optimal design of speed and acceleration lag compensation parameters is completed. Finally, a motion simulation experiment is performed indoors for simulation analysis and experimental verification. The results show that after adopting the equivalent compound control, the tracking accuracy is 56.8 μrad in the state of double-end motion and the accuracy error is reduced by 80.06%. This suggests that the equivalent compound control technology can greatly improve the dynamic tracking accuracy of rough tracking of the optical transceiver.