The design of the support frame structure of grazing incidence X-ray telescope is one of the key technologies in the development of telescope. The low energy focusing telescope of XTP satellite was planned, which adopted the X-ray focusing telescope based on the ultrathin glass. According to the rigorous optical and mechanical performance requirements for telescope prototypes, a hexagon barrel type telescope support structure was designed after structure selection and optimization. The modal analysis and frequency response analysis of the support structure were carried out by using the finite element software, and the results were compared with the mechanical experimental results. The results show that the support structure has a large structural rigidity, and the structure of the telescope will not be destroyed when it is launched, which can meet the requirements of mechanical properties. The support frame has the advantages of simple structure, high assembling precision and good manufacturability as well. It provides a reference for telescope development.