Abstract: To fully tap the schedulable potential of integrated energy system, a distributed optimal scheduling method of integrated energy considering fuzzy time-sharing energy price demand response was proposed. Firstly, to enhance the incentive effect of price signals on demand response, based on the time-sharing price and combining with fuzzy mathematics theory, the fuzzy time-sharing energy price was proposed, and then the price type comprehensive demand response model was established. Secondly, overall considering coupling constraints of the electric thermal gas system and the pipeline dynamic characteristics of the natural gas network, a day ahead dispatching model of the integrated energy system was constructed. Finally, in allusion to the complexity of the electric heat gas system and the opaque characteristics of information, a scheduling method based on regularized alternating direction multiplier method (abbr. PSR-ADMM) was proposed, which decomposed the optimal scheduling model into three subproblems of electric heat gas, transmitted information through multiple coordination variables, and added a regularized term containing coordination variables to accelerate convergence speed when subproblems were iteratively solved. The effectiveness of the proposed model and method are verified by specific example.