Soft open point (SOP) as a power electronic device can replace the traditional distribution network"s tie switch, and its application improves the flexibility of the distribution network operation. For the problem of power supply recovery of distribution network with SOP, this paper proposes a strategy for cooperative recovery of power supply between SOP and tie switch. The strategy determines the operational sequence of the tie switch during the recovery process through dynamic programming, and uses the second-order cone plan to solve the control model switching problem of the SOP at each stage of the dynamic programming. As a test example, the IEEE 33 node system verifies the feasibility of the multi-stage power restoration optimization strategy from the recovery effect. The simulation results show that the strategy can not only achieve the maximum power recovery in the power loss area, but also fully utilize the effect of SOP.