The integrated energy system (IES) of offshore oil and gas platforms is a complex energy intensive system, which is composed of energy supply system (ESS), oil and gas production system (OGPS), diesel oil supply system (DOSS) and oil storage and transportation system (OSTS). Among them, ESS and OGPS are closely coupled and show a trend on stronger coupling due to implementation of new technologies, such as waste heat recovery and associated gas utilization. In order to reduce the operating cost and carbon emissions, an optimal operation model that considers their couplings is proposed. Firstly, based on the standardized matrix modeling method, subsystems inside OGPS and ESS are modeled individually and then combined, through which the model of the whole IES can be built. Then, representing this model as constraints, the optimal operation model of offshore oil and gas platforms' IES is proposed, together with constraints representing operational limitations of subsystems. Particularly, in the proposed model, couplings on heat, associated gas and electrical energy between OGPS and ESS are modeled, and hybrid energy storage system (HESS) is considered in modeling ESS, which is able to coordinate associated gas storage (AGS) and electricity storage (ES) in the optimal operation. INDEX TERMS Integrated energy system, offshore oil and gas platforms, standardized matrix model, optimal operation.