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