A fill-measuring device for determining and/or monitoring the fill level of a container, includes: a membrane (1) which can be caused to vibrate; a rigid membrane rim (2) in which the membrane (1) is disposed; a drive device (4) having a drive end face (5) to impel the membrane (1) into vibration, and/or to convert vibrations of the membrane (1) into an electrical signal; and an attaching device (13) for attaching the drive device (4) to the membrane rim (2); wherewith, according to the invention: a part of the attaching device (13) is disposed in a region extending between the membrane (1) and the drive end face (5) of the drive device (4); and at least one pressure transmission element (6) is disposed between the membrane (1) and the drive end face (5) of the drive device (4), in a manner such that the membrane (1) and the drive end face (5) are coupled together for purposes of transmission of vibration.