This paper presents some of the results of study into robotic on-orbit servicing (OOS) by Russian State Scientific Center for Robotics and Technical Cybernetics (RTC). Problems of OOS are presented and their importance is shown. OOS operations are briefly observed, ranged and divided into two groups. To provide these operations two design concepts for means of robotic support (MRS), placed on servicing satellite, are considered. Those are design concepts of MRS based on one manipulator system (MRS-1) and MRS with three manipulators (MRS-3), more detailed description of them is also given.