A cigarette box includes an inner case (2) enclosing a filter-cigarette inner pack and having an access opening (4) at the top thereof, and an outer case (8) enclosing the inner case (2) and having a push window (10) at the bottom thereof. The outer case (8) has a hinged cap (12). In a closed position, the hinged cap (12) closes the access opening (4) of the inner case (2). When the inner case (2) is pushed upward through the push window (10) to stick out of the outer case (8), the hinged cap turns around a hinge (14) from the closed position to an open position in the manner associated with the sticking-out of the inner case, thereby opening the access opening (4) of the inner case (2).