A co-sleeping apparatus which facilitates parents sleeping with infants and/or pets is devoid of ground contacting support members, thus eliminating obstacles to vacuuming, allowing for simpler construction, portability and transport, etc. Various embodiments of the present co-sleeper provide for one or more of the following: adjustable height sidewalls; adjustable angulation of mattress platform; suspended mattress platform in the absence of rigid vertical supports between a top supporting rail and a mattress platform; provision of pockets/hampers along the exterior and/or beneath the co-sleeping apparatus for storage of products; a retractable cover; provision of mechanical bouncing, heating, rocking and sound emitting apparatuses in association with the co-sleeper, etc. In a particular embodiment, the design relates to a co-sleeper for pets, the confines of such co-sleeper permits access of pets to food, water, kitty litter, etc.