Aiming at the optimization problem of multi-agent systems, a distributed optimization algorithm based on dynamic event triggered mechanism is proposed in this paper. A new dynamic event triggered controller is designed based on Lyapunov function method. Compared with the traditional static triggered control methods, the proposed algorithm can effectively reduce the communication burden between agents and the calculation burden of controllers. In addition, as the periodic sampling information is used to design the event triggered condition, it is unrequired to continuously detect the event triggered condition. Moreover, Zeno behavior can be avoided. The effectiveness of the algorithm is verified by a numerical simulation.