This invention concerns a burnishing head for smooth rolling of the ring-shaped flat end faces (3, 4) at the thrust bearing of crankshafts by means of two cylindrical burnishing rollers (1, 2) which are arranged to be rotated and are side by side in parallel to each other within a burnishing head housing (12) that is pivotable about its longitudinal axis (20) to reach its the working position. Each burnishing roller (1, 2) is pivoted in a cage (10, 11) which is provided in the burnishing head housing (12) with low play (13) and lateral relocatability.