Abstract: In recent years, with the improvement of intelligence and information technology, distributed algorithms with many advantages such as high flexibility, taking into account information privacy and robustness have been widely used to solve the economic dispatch problem of Integrated Energy System (IES). However, it also presents IES with a greater risk of cyber-attacks. In order to solve this problem, a distributed robust economic dispatch strategy for IES is proposed. Firstly, a privacy-preserving protocol is embedded in a fully distributed algorithm to cover up the important updating information in the economic dispatch process of IES, and as the first line of defense against cyber-attacks. On this basis, a distributed robust economic dispatch strategy is proposed, which includes a neighbors-observe-based detection process and a reputation-based isolation process, it can effectively deal with cyber-attacks in a fully distributed fashion. In addition, this strategy can not only ensure the reliability of information transmission between agents, but also solve the problem of incorrect local load measurement data caused by cyber-attacks. Finally, a numerical simulation analysis of the proposed robust strategy is carried out on the 39-32 node integrated energy system. The simulation results verify that the distributed robust economic dispatch strategy proposed in this paper is effective against cyber-attacks.