A continuously variable power-split transmission with at least four driving ranges, within which the gear ratio of the power-split transmission can be continuously varied by a variator. A first planetary gearset with a plurality of shafts can be connected via shifting elements with another planetary gearset that also has a plurality of shafts and can be connected with a transmission output shaft. The first planetary gearset comprises four shafts and can be connected, via a first shaft, with a transmission input shaft and a first shaft of the variator. Furthermore, the first planetary gearset is connected, via a second shaft, to a second shaft of the variator, and the first planetary gearset is coupled, via a third shaft, to halves of two shifting elements and, via a fourth shaft, the first planetary gearset is coupled to a shifting element half of a further shifting element.