A planetary gear train of an automatic transmission for a vehicle may include an input shaft receiving torque of an engine, an output shaft outputting changed torque of the engine, a first planetary gear set, a second planetary gear set, a third planetary gear set, a first rotation shaft selectively connectable to the input shaft, a second rotation shaft, a third rotation shaft selectively connectable to at least one of the input shaft and a transmission housing, a fourth rotation shaft selectively connectable to the first rotation shaft, a fifth rotation shaft directly connected to the transmission housing, a sixth rotation shaft selectively connectable to the fourth rotation shaft, and directly connected to the output shaft, and a seventh rotation shaft selectively connectable to the first rotation shaft.