A filter device with a filter housing (2, 6), in which a replaceable filter element (4) is accommodated and which has a cover part (2), wherein the element material (30) is delimited at the end by at least one end cap (32), is characterized in that at least this one end cap (32) of the filter element (4) is placed on a fluid channel (58) and in that a device (84) for transverse force support for the filter element (4) is provided between this one end cap (32) and the fluid channel (58), wherein said device (84) for transverse force support supports the filter element (4) in relation to the fluid channel (58) engaging in the interior of the filter element (4) at least partially at the end.