Through the finite element method, the finite element models of three kinds of buckling-restrained brace components : cross-shaped square steel tube support, cross-shaped circular steel tube support and circular steel tube support are established. The hysteretic performance of buckling-restrained braces under cyclic loading is analyzed, and the influence of component parameters on the mechanical performance of three kinds of buckling-restrained braces is further analyzed. The results show that the three types of buckling restrained braces have good hysteretic energy dissipation performance, and the cross-shaped square steel tube brace has the best hysteretic energy dissipation performance. The influence of the restraint stiffness ratio of the buckling-restrained brace on the mechanical properties of the three types of buckling-restrained braces is consistent. With the increase of the restraint ratio, the buckling-restrained brace reaches full-section yield. The increase of the width-thickness ratio of the inner core element will cause the yield lag of the buckling-restrained brace, while the lower width-thickness ratio of the inner core element will cause excessive stress concentration. Therefore, it is suggested that the width-thickness ratio of the inner core element should be between 5 and 10. The initial imperfection and connection stiffness of buckling-restrained braces have little effect on the bearing capacity of buckling-restrained braces.