The application of finite set model predictive control (FCS-MPC) in three-phase three level VIENNA rectifier is introduced in this paper. The finite set model predictive control uses the discrete characteristic of the converter and the limited switch characteristic directly. Modulation is not needed, and it is easy to add the constraint terms. With these characteristics of FCS-MPC, the mathematical model, objective function and the rolling optimization strategy of VIENNA rectifier are established. Midpoint balance constraints is added directly to the objective function. The midpoint potential balance is realized directly. A 1.8KW platform is built to verify the feasibility of this control strategy in VIENNA rectifier. It can achieve unity power factor, output voltage stability and neutral point potential balance, and the system has strong robustness.