This paper is devoted to the problem of attitude control for rigid spacecraft subject to multiple disturbances. Due to the limited communication and storage resource, an event-triggered anti-disturbance attitude control approach is proposed for the attitude control system (ACS) with multiple disturbances. Different from some existing event-triggered attitude control methods, the multiple disturbances are considered and can be divided into an uncertain modeled disturbance and a norm bounded equivalent disturbance. A disturbance observer is designed to estimate the modeled disturbance. Based on the framework of disturbance observer-based control (DOBC), the proposed event-triggered anti-disturbance controller can guarantee that the ACS converges toward a small invariant set, which successfully avoids continuous communication and Zeno phenomenon. Finally, simulation results are given to demonstrate the efficiency of the proposed approach.