A planetary gear train may include input and output shafts, first to third planetary gear sets respectively having first to third, fourth to sixth, and seventh to ninth elements, a first shaft connected to the first element, and selectively connectable to the input shaft, a second shaft connected to the fifth element, and selectively connectable to the input shaft, a third shaft connected to the eighth element and the output shaft, a fourth shaft connected to the second element and the fourth element, a fifth shaft connected to the third and seventh elements, a sixth shaft connected to the sixth element and the transmission housing, and a seventh shaft connected to the ninth element and selectively connectable to the transmission housing.