A method for fitting an angular contact roller bearing, comprising an inner bearing ring having an inner track arranged on the outer lateral surface thereof inclined towards the bearing rotation axis (A L) and a rim delimiting this track at its smallest diameter, an outer bearing ring having an outer track arranged on the inner lateral surface thereof inclined towards the bearing rotation axis (A L) and a rim delimiting this track at its largest diameter together with a plurality of roller bearing elements arranged between the bearing rings (2, 6) and rolling onto the tracks (4, 8) thereof, said roller bearing elements being held at equal distances from one another in the circumferential direction by a bearing cage, wherein the outer lateral surface of the inner bearing ring and the inner lateral surface of the outer bearing ring are in each case cylindrical and extend outside the tracks (4, 8) at least in some sections coaxially to the bearing rotation axis (A L) and the tracks (4, 8) of both bearing rings (2, 6) are each incorporated in a tapered manner into the lateral surfaces (3, 7), such that the rims (5, 9) thus arising and respectively delimiting the tracks (4, 8) on one side, are each formed in a single piece with the bearing rings (2, 6), characterised in that the angular contact roller bearing is fitted according to an eccentric pivot fitting method borrowed from the eccentric fitting method known for deep groove ball bearings: a) In a first step, the outer bearing ring is inserted in a receptacle in an at least approximately vertical position with its rimless end face in front, and is slightly ovalised within its elastic limit by bracing on a 12 o'clock line on its outer lateral surface against a 6 o'clock line on its outer lateral surface. b) In a second step, the roller bearing elements are introduced into the track of the outer bearing ring, either individually or as a set of rollers which is prefixed already in a horseshoe shape in an auxiliary device with the larger end faces thereof in front of the rimless end face of the outer bearing ring. c) In a third step, the inner bearing ring with its rimless front face resting on an inclined plane is automatically fed smoothly to the outer bearing ring in such a way that this abuts with two opposite points of its track at two abutment points (26, 27) on the running surfaces of two roller bearing elements. d) In a fourth step, the inner bearing ring swivels into a vertical position in relation to same by a centrifugal force resulting from its acceleration on the inclined plane about a horizontal axis formed between its abutment points (26, 27) on the roller bearing elements in the outer bearing ring, in which position the rim of the inner bearing ring contacts at least in sections on the smaller end faces of the roller bearing elements. e) In a fifth step, the inner bearing ring is displaced into a coaxial position to the outer bearing ring and the roller bearing elements are evenly circumferentially distributed in their tracks (4, 8) in the bearing rings (2, 6) while reversing the ovalisation of the outer bearing ring. a) In a first step, the outer bearing ring is inserted in a receptacle in an at least approximately vertical position with its rimless end face in front, and is slightly ovalised within its elastic limit by bracing on a 12 o'clock line on its outer lateral surface against a 6 o'clock line on its outer lateral surface. b) In a second step, the roller bearing elements are introduced into the track of the outer bearing ring, either individually or as a set of rollers which is prefixed already in a horseshoe shape in an auxiliary device with the larger end faces thereof in front of the rimless end face of the outer bearing ring. c) In a third step, the inner bearing ring with its rimless front face resting on an inclined plane is automatically fed smoothly to the outer bearing ring in such a way that this abuts with two opposite points of its track at two abutment points (26, 27) on the running surfaces of two roller bearing elements. d) In a fourth step, the inner bearing ring swivels into a vertical position in relation to same by a centrifugal force resulting from its acceleration on the inclined plane about a horizontal axis formed between its abutment points (26, 27) on the roller bearing elements in the outer bearing ring, in which position the rim of the inner bearing ring contacts at least in sections on the smaller end faces of the roller bearing elements. e) In a fifth step, the inner bearing ring is displaced into a coaxial position to the outer bearing ring and the roller bearing elements are evenly circumferentially distributed in their tracks (4, 8) in the bearing rings (2, 6) while reversing the ovalisation of the outer bearing ring.