The invention relates to a device for adjusting a window pane displaced by a double-stranded cable window lifter on a motor vehicle, comprising two cable turning devices (31, 41, 32, 42), arranged at the front and rear, relative to the driving direction of the vehicle, along the adjusting direction of the window pane, a cable (2), driven by a drive unit (10), which runs between the cable turning devices (31, 41, 32, 42) along the adjusting direction of the window pane in two crossed bowden cables (26, 27). Said cables are at least partly arranged in bowden sheaths (81-84), the length of which can be adjusted relative and opposed to each other, by means of an adjustment device (60, 61), for altering the lengths of the bowden sheaths (81-84), which is arranged in the crossing region of the crossing bowden cables (26, 27). The length of the bowden sheaths (85, 86) on the drive side bowden cable (27) is changed in the opposite sense to the length of the bowden sheath (83, 84) on the non-driven bowden cable (26).