Disclosed is a filter element (3) comprising a cylindrical, porous, longitudinally penetrated filter material core (5) and a frame (6) that tightly surrounds one end of the core in a radial direction and is provided with scaling and holding means via which the filter element (3) can be removably and tightly inserted into a filter housing (1, 2). In order to be able to produce said filter element (3) efficiently, embody the same so as to make it easy to handle, and mount the same in a dividable filter housing so as to make it easy to replace, such a filter element is characterized by the following features:—the frame (6) encompasses a first annular groove (10) that is open towards the filter material core (5);—said first annular groove (10) is entirely filled with a foamed filling material (11);—the foamed filling material is produced from a liquid which is filled for foaming purposes into the first annular groove (10) resting against the filter material core (5) through an inlet (27) that is located in the first annular groove (10).