A countersteering vehicle rear axle induces a rotational motion of a wheel carrier about a virtual spread axis in the toe-in direction under the influence of a lateral force on the outside cornering wheel mounted on the wheel carrier. A support member exhibits a section, which extends essentially parallel to the plane of the wheel carrier, and a section, which is connected, when viewed in the direction of travel, to former section behind the wheel center point and extends essentially in the transverse direction of the vehicle. In a lateral projection, the support member is inclined in relation to the vertical direction in essentially the same way as the virtual spread axis. This support member is supported at least on the free ends of a sheet metal support plate, which in a lateral projection is approximately U-shaped and which in turn is mounted on the axle body.