A power split transmission for a work vehicle includes at least one drivable transmission input shaft, a power distribution module, a rotational speed variator having a variator output shaft, a transmission module operatively connected both to the transmission input shaft and the variator output shaft, and a transmission output shaft. The transmission module includes at least two transmission auxiliary shafts each of which includes at least one summation transmission for combining power introduced via the transmission input shaft and the variator output shaft. The transmission module includes at least one power shift stage via which the transmission auxiliary shafts are selectively connected to the transmission output shaft. A continuously variable transmission ratio is produced between the transmission input shaft and transmission output shaft.