Aiming at the economic dispatching problem with privacy guarantees and unknown gradient information in microgrid,a distributed online economic dispatching algorithm based on differential privacy mechanism and one-point feedback is proposed in this paper.Different from most existing researches on economic dispatching algorithms ignoring privacy protection,this paper introduces random noise which conforms to the Laplacian distribution to dis-turb the state of nodes,which effectively protects the privacy information of nodes.The algorithm estimates the real gradient information based on one-point feedback to guide the updating of decision variables,avoids accurate gradi-ent calculation,and is suitable for the scenario where gradient information is unavailable.In addition,the econom-ic dispatching problem is extended to the distributed online framework to adapt to the time-varying cost function sce-nario.Under the proposed algorithm,the economic dispatching problem can be solved in an online way,and the algorithm can achieve the same sublinear rate regret O(√T).Finally,the effectiveness of the algorithm is verified by simulation results.