Abstract: A tracklaying vehicle comprises first and second laterally spaced tracklaying units which are spaced apart in a travel direction from third and fourth tracklaying units which are spaced laterally from each other. A substructure which is supported on and located in between the tracklaying units includes a carrier shaft extending in the travel direction which provides a journal for rotatably mounting a cross beam which extends between one set of the tracklaying units, for example, the first and second tracklaying units. The other set of tracklaying units, the third and fourth one, are designed as steering units, and they are mounted on individual arms which are pivotally mounted on vertical pivots of the substructure and which are connected to steering devices for pivoting them about the rotatable mountings on each side of the substructure in order to shift the position of the third and fourth tracklaying units.