For the ground verification requirements of complex space operation missions such as non-cooperative target capture, on-orbit maintenance, and in-space assembly, a distributed simulation system is developed, which mainly consists of a back-end simulation model, a front-end visual demonstration system, and a front-end main controller. In order to realize the multidisciplinary model coupling and interaction among different modeling tools or programming languages, the functional mock-up interface (FMI) standard is introduced for system integration, improving the modularity, generality, and portability of the system. To fully utilize computing resources and improve the simulation efficiency, simulation subsystems and modules are deployed in a distributed manner, and the data distribution service (DDS) communication mechanism is used to achieve efficient and reliable data interaction. A demonstration case of a dual-armed space robot capturing a non-cooperative target shows that the simulation system can simulate the whole process from long-range guidance to close operation in real time, with high fidelity.