The large-scale renewable energy grid-connection has brought a great challenge to the safe operation of power systems. Demand side resources (such as electric vehicles and air conditioners) have great demand response potential and can participate in the active power dispatching of the power grid and actively absorb renewable energy. Therefore, this paper proposes a demand response strategy for electric vehicles and air conditioners considering response willingness. First, considering the influence of multiple factors such as price, state of charge and temperature, the response willingness of electric vehicles and air conditioners is quantified based on the Takagi-Sugeno-Kang fuzzy model, and the uncertainty of willingness is described by a triangular membership function. Then a response potential evaluation model of the electric vehicle and air conditioners is established to obtain a schedulable margin of the cluster demand response. Then, considering the uncertainty of price demand response load, wind power generation and response willingness, an incentive demand response strategy model is established. From fuzzy chance constraint programming theory, the fuzzy expectation constraint and the fuzzy chance constraint are transformed into a clear equivalent form of certainty. Finally, the effectiveness and feasibility of the model are verified by numerical simulation.