A control algorithm of adaptive sliding mode control based on fuzzy logic is proposed for the inertial stabilization problem of the floated inertial platform (FLIP). The sliding mode control was used to solve the parameters uncertainness and unmodeled dynamics of the FLIP, which guarantees the stability and rapidity of the system. Then, by focusing on the design problem of the sliding mode control, the gain of a sliding mode control was adjusted by using the fuzzy logic with an adaptive tuning algorithm，which enhanced the adaptability for random uncertainty and improved the robust performance and the stabilization accuracy of the controller. Finally, the stability and convergence of the control system were proven by using the Lyapunov method．The simulation results demonstrate that the proposed method can eliminate the input chattering of the sliding mode control efficiently, and the inertial stabilization of the FLIP is realized with the accuracy higher than 0.1 ″.