Although the virtual synchronous generator provides a grid-friendly operational mode for power converters, it may also introduce disadvantages similar to a traditional synchronous generator such as power oscillation in the parallel mode due to large virtual inertia. This article proposes an additional damping strategy to suppress the power oscillation. After analyzing the relationship between the output power and the angular acceleration, a damping strategy is designed by the acceleration control with a disturbance compensation. Small-signal analysis is also applied to study the stability of the proposed method. Finally, experiments are carried out to verify the proposed auxiliary damping method.