This paper investigates a supply chain composed of a distribution enterprise and a new energy vehicle(NEV) leasing enterprise. Considering the influence of uncertain operating costs of NEVs and fuel vehicles(FVs), this paper studies the decision-making of distribution service price， leasing price and leasing quantity of NEVs by using NAC capacity expected utility and game theory，compares results with and without the cost and gain sharing contract, and discloses the impact of vehicle carrying capacities and the distribution enterprise's optimism level about operating costs. Results indicate that introducing the cost and gain sharing contract can increase the leasing quantity of NEVs, decrease the distribution service price, and increase the distribution demand. When the optimism level about operating costs of NEVs(FVs) increases(decreases) or the carrying capacity of the NEV(FV) increases(decreases)，the distribution enterprise can increase the leasing quantity of NEVs, but the optimal leasing price and distribution service price do not necessarily decrease, which depends on the contract type.