In this paper, we consider the sliding mode control problem for switching systems under cyber attack. In the channel where the sensor transmits information to the controller, it suffers from the multi-strategy False Date Injection (FDI) attack. Different from the traditional FDI attack, the multi-strategy FDI attack selects different attack strategies according to the attacking moment. The multi-strategy FDI attack causes damage to system transmission information, which leads to an unstable state or even dispersion of the switching system. To solve this problem, this paper applies the sliding mode control method to ensure the probabilistic input-state stability performance of the switching system. A sufficient condition for the stability of the closed-loop switching system is obtained by applying the Lyapunov function method. In addition, a mathematical model between the system state and the damaged state information is established, and a sliding mode control law is designed based on the available damaged states. The designed sliding mode control law ensures the accessibility of the system state, and the system state trajectory is driven to the specified sliding mode surface within a finite time. Finally, numerical simulation verifies the effectiveness of the method.