Magnetically suspended sensitive gyroscopes (MSSGs) provide an interesting alternative for achieving precious attitude angular measurement. But the high accuracy is sensitive to various disturbing torques acting on the rotor. In order to compensate for the drift errors produced by disturbing torques, this paper proposes a compensation system of Lorentz force magnetic bearings. Based on the geometric construction and running regularity of the compensation system, the analytical expression of the compensation torque has been deduced, and the generation mechanism of the compensation torque is revealed, which laid the foundation for the design of high-precision MSSGs. The common issues caused by disturbing torques can be effectively resolved by the proposed method in gyroscopes with a levitating rotor. To verify the feasibility and superiority of this compensation method, comparative simulations are carried out before and after the disturbing torques were compensated.