A pump drive of an automatic transmission with a hydrodynamic torque converter driven by a drive motor and with an oil pump driven by a pump wheel of the torque converter. The pump wheel of the torque converter is connected to a converter hub that extends from the pump wheel in the direction opposite the drive motor and is mounted radially by way of a converter hub bearing in or on a wall of the automatic transmission fixed with respect to the transmission housing and radially encloses a section of a pump drive shaft of the oil pump. The pump drive shaft is radially centered in the converter hub and, on its side facing toward the drive motor, is connected to the converter hub by a driving profile.