For distributed energy system, multi-energy sources and their comprehensive utilization are popularly concerned nowadays. In this paper, optimal operation of a multi-energy complementary distributed combined cooling, heating and power (CCHP) system is deeply studied. This system is applied on a commercial building in Beijing and it has complex configuration including natural gas energy source, renewable energy source and different energy conversion devices. Meanwhile, a separated cooling, heating and power (SCHP) supply system is also proposed. Their optimal operation strategies and performance are compared to show the advantages of multi-energy complementary system. Through simulation, the results show that the multi-energy complementary system operates with great performance and the optimal operation strategy is effective. INDEX TERMS Combined cooling, heating and power system, distributed energy system, multi-energy complementary system, optimal operation.