A shift device is provide for a power take-off transmission of an agricultural utility vehicle. The shift device comprises an input shaft that can be driven by an engine of the utility vehicle, and an output shaft. The input shaft is connectable to the output shaft by way of three gear pairs, in order to transmit torque from the input shaft to the output shaft via one of the three gear pairs. Three gear wheels of the gear pairs are assigned to the input shaft. Three gear wheels of the gear pairs are assigned to the output shaft. One gear wheel of a gear pair is rotationally fixed to the input shaft or the output shaft and the other gear wheel of the gear pair is rotationally fixable to the output shaft or the input shaft by a gearshift sleeve. The two gear wheels of a gear pair intermesh with one another. The output shaft has a recess, in which a PTO stub shaft can be reversibly introduced. A mechanism, which can be actuated by a PTO stub shaft and which serves to actuate a gearshift sleeve, provided on the output shaft and rotationally fixed to the output shaft, is provided on the output shaft. The gearshift sleeve in one shift position of the gearshift sleeve is rotationally fixed to a gear wheel of a first gear pair. In another shift position of the gearshift sleeve no rotationally fixed connection exists between the gearshift sleeve and gear wheel of the first gear pair. By means of a further gearshift sleeve a rotationally fixed connection can be established with a gear wheel of the second gear pair or with a gear wheel of the third gear pair.