Method for operating an omnidirectional-wheeled vehicle, which has a vehicle body, on which at least four drivable omnidirectional wheels are rotatably mounted, each of the at least four wheels being designed for advancing the omnidirectional-wheeled vehicle on an underlying surface (5.1, 5.2, 5.3) and controlled individually in their directions of rotation and rotational speeds by a control device, characterized by the following steps: - driving the omnidirectional-wheeled vehicle with all of the at least four wheels on a first underlying surface (5.1) by controlling all of the at least four wheels by means of the control device in directions of rotation and rotational speeds of all of the at least four wheels that are coordinated with one another in such a way that the only directional-wheeled vehicle approaches a second underlying surface (5.2), which second underlying surface (5.2) is moving in relation to the first underlying surface (5.1) at a differential speed with respect to the first underlying surface (5.1), - switching off the controlled driving of at least one of the at least four wheels, but at most as many wheels that at least three of the at least four wheels remain on the first underlying surface (5.1), the at least one switched-off wheel being moved onto the second underlying surface (5.2) by controlled driving of the other wheels, - allowing the at least one wheel that has been moved onto the second underlying surface (5.2) to rotate freely in such a way that it assumes a direction of rotation and a rotational speed that set themselves on the basis of the relative movement of the second underlying surface (5.2) with respect to the first underlying surface (5.1) in dependence on the differential speed, - detecting the direction of rotation and the rotational speed of the at least one wheel that has moved onto the second underlying surface (5.2) while it is freely rotating on the second underlying surface (5.2), and - driving the omnidirectional-wheeled vehicle with the at least four wheels partly on the first underlying surface (5.1) and partly on the second underlying surface (5.2) by drivable control of all of the at least four wheels by means of the control device in directions of rotation and at rotational speeds of all of the at least four wheels that are coordinated with one another in dependence on the direction of rotation and rotational speed of the at least one wheel that has moved onto the second underlying surface (5.2) detected while it is freely rotating in the switched-off, non-driven state. - driving the omnidirectional-wheeled vehicle with all of the at least four wheels on a first underlying surface (5.1) by controlling all of the at least four wheels by means of the control device in directions of rotation and rotational speeds of all of the at least four wheels that are coordinated with one another in such a way that the only directional-wheeled vehicle approaches a second underlying surface (5.2), which second underlying surface (5.2) is moving in relation to the first underlying surface (5.1) at a differential speed with respect to the first underlying surface (5.1), - switching off the controlled driving of at least one of the at least four wheels, but at most as many wheels that at least three of the at least four wheels remain on the first underlying surface (5.1), the at least one switched-off wheel being moved onto the second underlying surface (5.2) by controlled driving of the other wheels, - allowing the at least one wheel that has been moved onto the second underlying surface (5.2) to rotate freely in such a way that it assumes a direction of rotation and a rotational speed that set themselves on the basis of the relative movement of the second underlying surface (5.2) with respect to the first underlying surface (5.1) in dependence on the differential speed, - detecting the direction of rotation and the rotational speed of the at least one wheel that has moved onto the second underlying surface (5.2) while it is freely rotating on the second underlying surface (5.2), and - driving the omnidirectional-wheeled vehicle with the at least four wheels partly on the first underlying surface (5.1) and partly on the second underlying surface (5.2) by drivable control of all of the at least four wheels by means of the control device in directions of rotation and at rotational speeds of all of the at least four wheels that are coordinated with one another in dependence on the direction of rotation and rotational speed of the at least one wheel that has moved onto the second underlying surface (5.2) detected while it is freely rotating in the switched-off, non-driven state.