For the control of grid connected devices, traditional Virtual Synchronous Generator (VSG) control faces problems of active power oscillation and dynamic stability. Therefore, this paper proposes a transient compensation VSG grid connected active power dynamic oscillation suppression strategy based on active power feedforward. By integrating the first-order active power feedforward link and transient compensation link, the oscillation phenomenon is effectively suppressed. On this basis, by adjusting the parameters of relevant links, the dynamic performance of VSG grid connection operation can be significantly improved. Then, a transient compensation VSG small signal model based on active power feedforward was established, and the superiority of this control strategy in suppressing active power oscillation was theoretically verified. At the same time, a method for adjusting the strategy parameters was proposed. Finally, the comparative simulation results conducted through MATLAB/Simulink show that the proposed strategy can effectively eliminate the steady-state deviation and dynamic oscillation problems of active power in VSG grid connection when facing two types of step disturbances: active power command and grid frequency.