Shaft oscillation takes place in the drive system of a large rotation inertia compressor driven by a dual-synchronous-motor system through a flexible shaft. For this problem, a control scheme with speed difference compensation and speed differentiation is designed. The control scheme introduces speed difference compensation and speed differentiation into speed loop control. By compensating the speed and torque, the purpose of increasing damping to suppress oscillation is achieved. A dual-synchronous-motor dragging compressor model and a dual-motor synchronous control model are built on the Simulink platform, and the theoretical basis of control strategies is provided. Simulation results show that the proposed control scheme can significantly suppress oscillation.