This work presents an event-triggered model predictive controller for spacecraft hovering phases. The target is flying in an elliptic orbit and is assumed to be inert whereas the chaser has impulsive thrusters. The main goal is to design a local controller based on event-triggering to keep the spacecraft within a hovering region while minimizing fuel consumption and avoiding unnecessary small amplitude firings. Using hybrid impulsive systems theory and reachability analysis, the invariance of the proposed method is studied. Simulation results are shown and discussed.