This article investigates the finite-time synchronization problem of a delayed complex network based on an event-dependent-intermittent control mechanism. A finite-time event-dependent intermittent control mechanism is designed. Two boundary functions with finite-time convergence characteristics are introduced to construct three non-negative real number domains(workspace domain, rest region, buffer region), and the working and resting intervals of intermittent control depend on the relationship between the Lyapunov function trajectory and the preset region. Compared to existing event-dependent intermittent control, the proposed control mechanism has a faster convergence speed. Some sufficient conditions for achieving finite-time synchronization are given based on finite-time stability theory, and the settling time is accurately estimated. Finally, numerical simulations have verified the effectiveness of theoretical results.