Due to the distance of each DG unit to the public bus and the difference of network structure, it is difficult for the traditional droop control of distributed power supply to share the load according to its rated capacity in a microgrid running on an island. Therefore, a distributed control strategy for microgrid based on the consensus of multi-agent system is proposed, which adopts the one-way communication links to realize the reactive-power exchange between adjacent micro-sources. The dynamic consistency algorithm is used to iteratively sum the reactive power difference, and then the proportional integrator is used to compensate the reference voltage amplitude of the droop characteristic curve. This strategy not only realizes the reasonable distribution of reactive power, but also reduces the requirement of communication line and improves the reliability of the system. This work is supported by National Natural Science Foundation of China (No. 71263043 and No. 61763040), Ningxia Natural Science Foundation (No. NZ17022), and Ningxia Key Research and Development Program (No. 2018BFH03004).