A filter device, especially for filtering the intake air of an internal combustion engine, which includes a housing with an unfiltered air inlet and a clean air outlet, and a substantially cylindrical, replaceable filter insert disposed in the housing, which separates an unfiltered air zone within the housing from a clean air zone. An axial seal is provided on at least one end disk of the cylindrical filter insert, which seal interacts with a sealing surface on the housing to seal the unfiltered air zone from the clean air zone. A clamping wedge is also provided, which exerts a force on the filter insert to urge the axial seal reliably against the sealing surface of the filter housing.