A filter device has a filter element (3) in a 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 seal (29, 35) is between the filter element (3) and the housing cover (5). The screw connection is formed by threads (33) on a connecting pipe piece (31) that is part of an end cap (17) of the filter element (3) and that extends into the inner filter cavity (22) and by the threads (23) of the housing cover (5). The housing cover threads (23) are on a receiving pipe piece (21) formed by a separate component attached to the housing cover (5).