In this paper,the distributed optimization problem of multi-agent system with Lipschiz-type nonlinear dynamics is studied.For a multi-agent system,each agent has a local performance function.The quality of the whole multi-agent network is judged by the sum of these local performance functions.In the whole process,each agent only knows local interaction information and the gradient of its own objective function.In order to achieve the goal of cooperative optimization,a new distributed optimization algorithm is proposed.Furthermore,by utilizing the Lyapunov stability and optimization analysis,the distributed cooperative optimization problems for Lipschiz-type nonlinear multi-agent systems are solved.Finally,a numerical simulation is shown to verify the effectiveness of the proposed algorithm.