Preheat grill to medium heat. In a large bowl, toss the green beans, olive oil, and lemon pepper so green beans are evenly coated.
Place a grill matt on the grill so that the beans will not fall through the grates, and then spread the green beans evenly across the grill matt.
Cook for about 7-8 minutes, tossing the green beans occasionally with a tongs so they cook on all sides. Remove from grill and serve immediately.