A filter device has a filter element (3) received in a filter housing (1) and has a holding device (19) for detachably fixing the filter element in the filter housing (1). Corresponding threads (23, 33) form a screw connection between a housing cover (5) of the filter housing (1) and the filter element (3). A sealing device (29, 35) imparts a sealing action between the filter element (3) and the housing cover (5). The screw connection is formed by threads (23, 33) situated in the interior (22) of the filter element (3). The thread (33) assigned to the filter element (3) is situated on a connecting pipe piece (31) that, as a constituent part of an end cap (17) of the filter element (3), extends into the inner filter cavity (22) of the filter element (3). The thread (23) assigned to the housing cover (5) is situated on a receiving pipe piece (21), which can be screwed to the connecting pipe piece (31) of the filter element (3). The receiving pipe piece is formed by a separate component in the form of a pipe piece (21) attached to the housing cover (5).