Abstract: This paper studies the stability of interconnected hybrid power systems based on non-instantaneous impulsive control (NIIC). An event-triggered NIIC (ET-NIIC) control strategy is proposed for interconnected hybrid power systems, which overcomes the instantaneity and discontinuity of traditional event-triggered impulsive control (ETIC) by completing distributed control within a short period of time. Theoretically, it is proven that ET-NIIC is non-Zeno and can achieve exponential stability for interconnected hybrid power systems. Moreover, simulation experiments comparing ET-NIIC with the traditional ETIC method show that, without significantly increasing control costs, ET-NIIC not only improves the instantaneity and discontinuity issues of traditional impulsive control but also reduces the number of control actions and impulse frequency, thereby enhancing the safety and stability of system operation.