A filter element has a zigzag-folded filter medium. Filter medium sections joined by a fold edge define an intermediate fold space, respectively, with a fold base and fold peaks opposite the fold base. An elongate support section is arranged in the intermediate fold space on a filter medium surface of one of the filter medium sections. The support section extends perpendicular to the fold edges between fold base and fold peak. The support section has a height extension perpendicular to the filter medium surface that increases in longitudinal direction of the support section from fold base to fold peak. The support section has a free side facing away from the filter medium surface. The support section has a width extension parallel to the fold edges. The width extension decreases parallel to the filter medium surface and perpendicular to the longitudinal direction from fold peak to fold base.