A door system (1) includes a door leaf (3) for closing off an entrance opening (4) and a suspension rod (10) having two opposite ends (11, 12) supported by a support structure (13). A suspension member (14) connects the door leaf (3) to the suspension rod (10) and can slide together with the door leaf (3) along the suspension rod (10) from an initial position corresponding to a closed position of the door leaf (3), to a final position corresponding to an open position of the door leaf (3). The two opposite ends (11, 12) of the suspension rod (10) are slidable in a horizontal direction transverse to the entrance opening (4). The suspension member (14) is slidably coupled to and guided by a non-linear upper guide (17) positioned above the suspension rod (10).