An endless track vehicle one end at least of which is steerable, as well as a method for operating the same. Front and rear end roll structures guide an endless track vehicle for movement, and at least one of these structures can be angularly displaced with respect to the frame of the vehicle for the purpose of executing a turn during which one side of the track becomes shorter while the opposite side thereof becomes longer. In order to execute a turn, one of the end roll structures is angularly displaced about an upright axis in a substantially horizontal plane, and at the same time this one end roll structure is free to assume an angular position determined by the endless track which engages the latter end roll structure. A connecting structure is provided for connecting at least the one angularly displaceable end roll structure to the frame of the vehicle, this connecting structure providing for the angular displacement of the one end roll structure to execute a turn while at the same time providing for the end roll structure the capability of freely assuming an angular position determined by the endless track itself.