Many distributed energy sources are greatly aggregated under "peak carbon dioxide emissions, carbon neutrality." To increase the consumption of renewable energy, lower carbon emissions, and boost economic efficiency, a multi-time-scale optimal scheduling model for an integrated energy system (IES) consisting of heat, gas, cold, and electricity is presented in this paper. Firstly, a ladder carbon trading model based on carbon capture and storage (CCS) and power-to-gas (P2G) coupling is constructed, and an optimal scheduling strategy for IES containing multiple heterogeneous energy sources of heat, electricity, cold, and gas is proposed. Secondly, a multi-time-scale scheduling model with source-load coordination is built for the day-ahead, intraday and realtime, and the optimal regulation is implemented using the lowest cost as the objective function. Finally, the economy, low carbon, and flexibility of the proposed multi-time-scale optimal scheduling strategy are verified by the simulation analysis.