An arrangement and method are provided for enabling rotation movement between a tandem or caterpillar axle and a body of a vehicle. This type of vehicle includes at least one body part that is provided with a tandem or caterpillar axle. At least one body part includes a main body and an auxiliary body connected to it to rotate around the longitudinal axis of the vehicle or an essentially parallel axis thereto. The tandem or caterpillar axle is connected substantially rigidly to the main body, and the body part has at least one actuator for controlling the rotation movement between the main body and auxiliary body. In this way, changes in the position and motion status of the auxiliary body, especially in relation to the rotation around the longitudinal axis of the vehicle, are arranged to cause in the actuator a pushing or pulling motion that steers the auxiliary body to a rotation movement for the purpose of arranging the auxiliary body to a substantially horizontal position.