With more and more photovoltaic generations integrated into different voltage level distribution networks, the interaction between the various voltage levels of the distribution network is more complicated. It is a great challenge for the active distribution network to improve of system security and economy capacities. Considering the effect between different voltage levels, a multi-level voltage interaction control method for active distribution network based on model predictive control (MPC) is proposed in the paper. Considering on-load tap changers (OLTC) and shunt capacitor banks (CB) future-time action plan, a medium-high voltage association model is established. Coordinated control of continuous equipment in medium voltage distribution network and discrete equipment in high voltage distribution network is achieved. In the medium and low voltage distribution network, taking into account the uncertainty exchange power and their mutual influence, a low-middle voltage association model is established. It can realize the support of medium voltage distribution network to low voltage distribution network. Finally, a case study is carried out in Matlab and the results verify the effectiveness and feasibility of the proposed approach.