Abstract: Cascade hydro-photovoltaic hybrid generation system can achieve the objectives of hydro-photovoltaic complementary, renewable energy consumption and power supply structure optimization. This paper made a research on the mathematical modeling of cascade hydro-photovoltaic hybrid generation planning with pumped storage stations. Firstly, the concept of the cascade hydro-photovoltaic-pumped storage correlation model was proposed and its physical and mathematic meaning were both analyzed. As an important equality constraint in the planning of cascade hydro-photovoltaic-pumped storage hybrid generation system（CHPPS）, correlation model reflects the space-time complementary characteristics of hydro and photovoltaic power, appearing as an implicit function of generation capacity and geographical location for cascade hydro, photovoltaic and pumped storage stations. Secondly, correlation model was deduced in details and its specific form was given. Then, a planning model was established with power flow and reliability constraints, as well as multi-objectives. Based on the model proposed, the solution method combined with the fast non-dominated genetic algorithm（NSGA-II）, TOPSIS and dynamic programming was presented, and an example of a CHPPS was planned in this paper. Simulation results show that planning problem solved based on the correlation model possesses reasonable investments, good income and excellent water-light complementary ability.