In a multi-energy collaborative system, cooling, heating, electricity and other energy sources are coupled to complement each other. Through multi-energy coordination and solidarity, their operating efficiency and economic benefits can be significantly improved. Demand response as a multi-energy supply-demand balance method can further improve system flexibility and economy, and electricity demand response as a viable method has been implemented in multiple provinces. In order to clarify the impact of electricity demand response on the optimal operation mode of multi-energy cooperative system, a multi-energy cooperative system optimized operation model that considers market-based elastic price-type demand response is proposed. Firstly, the main components of the multi-energy collaborative system is analyzed, based on the energy hub model, the multi-energy coupling characteristics are studied, and a price-based demand response model based on market elasticity is constructed. Based on this, an optimal operation model is established to minimize the daily operation cost of multi energy collaborative system. Finally, combined with actual case calculation analysis, it is verified that the adoption of price-based demand response measures can be significant to improve the economy of multi-energy collaboration systems.