According to one embodiment a bed enclosure comprises a frame including a plurality of side posts and upper frame members connected to the side posts. The frame defines a pair of opposed ends, opposed sides and a top of the bed enclosure. At least one cover member is provided and covers the opposed ends, opposed sides and the top of the bed enclosure. The at least one cover members includes a flap portion which wraps around and covers a portion of one of the upright side posts and upper frame members and is secured therearound so as to prevent access around the at least one of the upright side posts and upper frame members which is covered by the flap portion.