A barbecue grill has a grill body, two hinge plates, a rear cover, a front cover and holding pins. The hinge plates are mounted on the grill body and respectively have a mounting foot and a mounting and adjustment panel. Each mounting and adjustment panel has a pivot hole and adjusting holes. The rear cover is connected pivotally to the hinge plates and has a curved panel, two side panels and two pivot pins. Each side panel has positioning holes. The pivot pins protrude out from the side panels and extend through the pivot holes. The front cover is mounted around the rear cover and has a curved panel, two side panels and two pivot collars. Each side panel has positioning holes. The pivot collars are protruded out the side panels and mounted around the pivot pins. The holding pins are extended through the adjusting holes and the positioning holes.