In micro-grid, power sharing and circulation current suppression are critical problems for the control of parallel inverters. Low precision of power sharing and circulation current are caused by different line impedances. For these issues, a new kind of control strategy for multi-inverters is proposed based on parallel virtual resistance. The voltage tracking system of inverter is designed and the inner loop current reference is modified by the current of virtual branch. Then, the value of inverter’s equivalent connection impedance is changed. As a result, the precision of power sharing is improved and circulation current is also suppressed. With bode diagram of inverter’s equivalent output impedance, the relevant control parameters of voltage tracking system are well designed. Simulation model is set up in Matlab/Simulink and simulation results show the validity of the proposed control strategy.