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 fourth planetary gear set, a first rotation shaft directly connected to the input shaft, a second rotation shaft selectively connected to a transmission housing, a third rotation shaft, a fourth rotation shaft, a fifth rotation shaft directly connected to the transmission housing, a sixth rotation shaft, a seventh rotation shaft selectively connected to the fourth rotation shaft, and selectively connected to the transmission housing, an eighth rotation shaft selectively connected to the third rotation shaft, and directly connected to the output shaft, and a ninth rotation shaft selectively connected to the second rotation shaft.