The technology of virtual synchronous generator can simulate the operation mechanism of the synchronous generator, which can make distributed generation friendly connect to power grid under balanced condition. However, when the grid voltage becomes unbalanced, it will lead to rippled power and unbalanced three-phase current. To overcome this difficulty, a coordinate control of power and current for virtual synchronous generator based on the stationary frame is proposed. The instantaneous power theory is employed to compute the reference negative-sequence current command, which suppresses the active-power oscillation, reactive-power oscillation and balanced current respectively. The unified analytic formula of the control target is established to achieve the coordinate control of power and current, which enhances the operation performance of the system. Finally, the simulation results verify the effectiveness of the proposed control strategy. This work is supported by National Natural Science Foundation of China (No. 61703144 and No. U1804143) and Key Science and Technology Project of Colleges and Universities of Henan Education Department (No. 17A470010 and No. 18A470003)