This paper investigates the problem of event-based security control for state-dependent uncertain systems under hybrid-attacks. An event-triggered scheme is adopted to mitigate the communication burden, where the sampled data are delivered only when the predefined triggering condition is violated. Meanwhile, a new hybrid-attacks model, which contains denial-of-service attacks and replay attacks, is established to describe the randomly occurring cyber-attacks. By taking hybrid-attacks into account, a novel mathematical model for state-dependent uncertain systems with event-triggered scheme is established. Then, through employing Lyapunov-Krasocskii stability theory and linear matrix inequality techniques, sufficient conditions ensuring the state-dependent uncertain systems being exponentially mean-square stable are deduced. Based on the derived sufficient conditions, the desired output feedback controller gain is obtained. Finally, the feasibility of the proposed method is demonstrated by a numerical example, and the applicability of the developed theoretical results is also illustrated by the controller design for electronic circuits.