A device for determining the position of an object that is movable along at least one displacement direction, the or each displacement direction having assigned to it one length measuring device for measuring the position of the object along the respective spatial direction, includes: at least one scale extending along a displacement direction of the object to be measured as a first component of the respective length measuring device; a scanning head for scanning the scale as a second component of the respective length measuring device such that a change in the position of the scale with respect to the scanning head along the associated displacement direction of the object to be measured is measurable, one of the two components of the respective length measuring device being moved together with the object to be measured along the respective displacement direction when the latter is moved; and a device for determining the distance of the component of the respective length measuring device, which is movable together with the object to be measured, from the object to be measured along the measuring direction of the associated length measuring device.The device for determining the distance of the component of the respective length measuring device, which is movable together with the object to be measured, from the object to be measured includes a measuring graduation as a first module and an associated measuring head as a second module, one of the two modules being provided on the object to be measured and the other of the two modules being provided on the component of the length measuring device that is movable together with the object to be measured.