The invention relates to a brush deburring machine (1) for deburring opposite ends of at least one elongated section (8) that is configured in the longitudinal direction during a transport in a transporting direction (T), comprising two rows of transporting disks (3, 4), said rows being arranged in the transporting direction (T). The transporting disks (3, 4) lie opposite each other in pairs and each disk has at least one recess (6b) that corresponds with an opposite recess (6a) in order to receive the at least one elongated section (8). The brush deburring machine also comprises a gripping device (25) with which the at least one elongated section (8) can be inserted into the recesses (6a, 6b) that correspond with each other. A pressing device (20) lies between the corresponding recesses (6a, 6b) and can exert a force onto the at least one elongated section (8) in a radially inwards direction with respect to the transporting disks (3, 4) into the corresponding recesses (6a, 6b).