Abstract: Aiming at the cooperative hunting phenomenon in predator system, a predator-prey model with cooperative hunting is established. In order to avoid the shortage of prey resources in a short time due to the large number of predators in a specific area, a cooperative hunting predator-prey model based on feedback control is established by limiting and controlling the number of predator groups. Firstly, the dynamic behavior of the continuous system is analyzed, and the influence of cooperative hunting factors on the existence and stability of the positive equilibrium state is discussed. Secondly, the existence and stability of order-1 periodic solutions for feedback control systems are discussed by using the method of successor function and analogue of Poincaré criterion. Finally, MATLAB is used for numerical simulation to verify the obtained main research results.