In a DC microgrid, conventional droop control has the contradiction that power sharing and bus voltage control cannot be considered at the same time. To solve this problem, a system with resistive load is studied, and adaptive droop control of the DC microgrid based on current consistency strategy is proposed. The strategy includes primary, secondary and current consistency control. The introduction of output capacitor voltage feedback constitutes the primary control, and reference voltage compensation and droop coefficient correction constitute the secondary control. Each distributed power supply only exchanges current information between adjacent converters. Through the iterative control of current consistency and the combination of primary and secondary control, the bus voltage deviation is eliminated while ensuring the output power is evenly divided. In order to verify the control effectiveness of the strategy, small-signal modeling theory of the system is analyzed, and the influence of the change of control parameters on the stability of the system is analyzed. Finally, simulation verification is carried out. Theoretical analysis and simulation results show that the proposed control strategy can also ensure the stability of the system when the structure of DC microgrid changes, and achieve the goal of power sharing and bus voltage control adaptively. This work is supported by the National Natural Science Foundation of China (No. 51977026).