The phase circulation problem of low-voltage microgrid parallel inverter system seriously affects the power quality and conversion efficiency of the output side of micro-grid. Therefore， sliding mode control （SMC） was introduced to design a compound suppression strategy of phase circulation （CSSPC）. Firstly， according to the generation mechanism of phase circulation in parallel system， the inter-phase circulation and intra-phase circulation are modeled， and the inhibition mechanism of different phase circulation is analyzed and given. Then， for the inter-phase circulation of the parallel system， combined with the traditional virtual impedance droop control （VIDC）， the robust droop SMC controller was obtained by improving the design： bus voltage response， droop loop output accuracy and virtual induced reactance regulation， in order to improve the power distribution accuracy of the parallel system and restrain the inter-phase circulation； The parametric stability of the robust droop SMC controller is analyzed based on the theory of small signal perturbation. For the intra-phase circulation of parallel system， a zero-sequence voltage SMC suppressor is designed to dynamically adjust the action time of zero vector in space vector pulse width modulation （SVPWM） and to indirectly suppress the intra-phase circulation of parallel system by eliminating zero sequence voltage. Finally， simulations are designed， and the results to show that the CSSPC strategy can control the system inter-phase and intra-phase circulation coefficients within 1.49% and 0.72% respectively， which proves the effectiveness of the proposed strategy.