A grill assembly for cooking food items over a heat source includes a grill body capable of holding the food items and at least one grill body handle having a grip end and a grill body engagement end. The grill body is provided with a handle engagement structure which is adapted to rotatably hold the grill body engagement end of the grill body handle so as to allow the grill body to be turned over on the handle while holding the grip end of the handle. The handle engagement structure of the grill is preferably provided in the form of handle insertion structure such as one or more insertion sleeves on the periphery of the grill body. Suitably two spaced apart handles are provided which rotatably engage the grill body whereby the grill body can be turned over on the two handles without the user altering his or her grip on the handles. Preferably the handle or handles are removably engaged in the grill body such that they can be removed when they are not being used to maneuver the grill body over the heat source.