The invention relates to a rolling tool (1) for the roller burnishing of bearing surfaces (2) of a crankshaft (3) that can be rotated about a crankshaft axis (K), comprising a roller burnishing head (4) and a supporting roller head (5). The problem addressed by the invention is that of designing such a rolling tool in such a way that damage to guides of the burnishing roller or of the crankshaft is largely impossible. This problem is solved in that the burnishing roller (7) is guided on all sides in a roller cage (12) and in that the roller burnishing head (4) has a roller burnishing head frame (13), in which the roller burnishing head housing (6) is supported pivotably about a first pivot axis, which is perpendicular to the crankshaft axis (K) and which extends parallel to a tangent to a working side of the burnishing roller (7). Additionally or alternatively thereto, the supporting roller head (5) comprises the supporting roller frame (14), in which the supporting roller housing (9) can be pivoted about a second pivot axis (B), which is perpendicular to the crankshaft axis (K) and parallel to the first pivot axis (A), and about a third pivot axis (C), which is perpendicular to the crankshaft axis (K) and perpendicular to the first pivot axis (A).