A method and compression roller tool for increasing the strength of load-bearing surfaces on shafts, in particular on crankshafts, which surfaces are pre-machined with the removal of chips, wherein the cylindrical surfaces of the main bearing journals and pin-bearing journals and optionally also the journal of crankshafts have additional oil bores. At least one of the load-bearing surfaces is compression-rolled by way of at least one cylindrical body which has a surface structure and extends over the width of the load-bearing surface. Afterwards, the compression-rolled load-bearing surfaces are machined with the removal of chips with a low chip depth. The compression roller tool consists of a cylindrical compression roller body and a supporting body opposite it, wherein the compression roller body has thickened portions on its cylindrical surface, which thickened portions run either in the circumferential direction or in the axial direction or diagonally with respect to the axial direction.