Aiming at the distributed convex optimization problem in multi-agent systems,a zero-gradient-sum optimization algorithm based on adaptive event-triggered mechanism is proposed in this paper.The adaptive event-triggered condition is designed based on virtual clock,and the condition will not be triggered until the virtual clock of each agent meets the condition,which effectively reduces the update times of the controller as well as the communication burden of the system.Through constructing the Lyapunov function,it is proved that the states of all agents can converge asymptotically to the global optimal solution under the algorithm.In addition,the designed event-triggered condition makes the minimum inter-event time designable,which effectively excludes the Zeno behavior.Finally,simulation results verify the effectiveness of the algorithm.