This article designed an adaptive model predictive control method which used in three-level hybrid flying capacitor boost converter (HFCBC) in photovoltaic system. In this article, a model predictive control method with continuous control set (CCS-MPC) is used as the inner-loop to control the flying capacitor voltage and inductor current for the HFCBC. Besides, an adaptive outer-loop controller is proposed to provide an appropriate reference of inductor current and eliminate the steady-state error and accelerate the response speed. Compared with the earlier control methods, the adaptive CCS-MPC has more advantages such as fast dynamic response, solving the problem of model mismatch effectively and additive system state variables constraints. The advantages and effectiveness of the control strategy is shown by simulation results.