As a new power distribution device, soft open point (SOP) would greatly improve the economical, flexible and controllable operation of distribution network. Firstly, a multi-method complementary voltage control strategy considering the coexistence of SOP and traditional reactive power compensation devices is proposed, and a bi-level optimization model that considers operation economy and voltage level of the system is constructed. Then a hybrid solution strategy for the model is proposed based on genetic algorithm and interior point method. The pre-action table is used to determine the action time of discrete devices, and the pre-action timetable is dynamically adjusted according to the power reserve of the SOP. Finally, in the improved IEEE 33 bus system, the proposed optimization model is analyzed and verified. The simulation results show that the combination of SOP and reactive power compensation devices could effectively deal with the voltage fluctuation caused by uncertain changes of source-load, and significantly improve the stable operation level and energy transmission capacity of power grid. © 2019 Automation of Electric Power Systems Press.