A bed system, comprising a bed (1), and a foldable cover device (6) mounted to the bed, wherein the foldable cover device (6) comprises a bearing structure (8) and a cover material (11) provided on the bearing structure (8), and wherein the foldable cover device (6) is movable between a folded position in which the cover device (6) is folded and an unfolded position in which the cover device (6) is unfolded, thereby at least partially covering a sleeping area (5) of the bed (1). (FIG. 1)