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An event triggered control scheme for switched 2-D continuous-discrete systems with actuator saturation is proposed based on the multi-Lyapunov function method. In order to reduce the waste of communication resources and the loss of actuators, an event triggering mechanism is proposed. The characteristic of the actuator saturation is considered in the event triggering mechanism. The controller is updated only when the actuator is not saturated and the event triggering condition is satisfied. By using the convex combination technique and the multi-Lyapunov function method, a state dependent switching signal and a state feedback controller are proposed, and the exponential stability of the closed-loop system is analyzed. Then sufficient conditions for the existence of controller gains are derived by using the linear matrix inequality technology. The effectiveness of the proposed event-triggered control scheme is verified by a simulation example about the Darboux equation and simulation results show that the proposed control method can make the state of the closed-loop system exponentially converge to zero and the waste of communication resource can be reduced at the same time.