A baler for forming round roll bales of agricultural products includes a baling chamber in which a plurality of bale-forming rotatable rolls form a bale which is wrapped with a binding tape supplied into the baling chamber from the tape supply roll positioned outside and above the baling chamber. The baling chamber is formed by two portions of the housing which are hinged away from each other to discharge the formed and wrapped bale from the baling chamber. A pair of tape advancing rollers receive a starting end of the tape from the supply roll and advance it into a gap between two adjacent bale-forming rolls so that the binding tape is taken along by the rotating formed bale in the baling chamber. A counter of the number of revolutions of at least one of the advancing rollers is provided, which causes cutting off a tape portion from the binding tape by a control device after the number of revolutions of the advancing roller has reached an adjusted number.