An automatic transmission assembly having a transmission unit including a plurality of gear pairs, a shift drum, a pair of clutches; and a controller. The controller performs a preliminary upshifting action in advance for angularly moving the shift drum depending on a next gear position in an upshifting direction while rotary drive power is being maintained at a given gear position, and when an upshifting command is output, the controller engages one of the clutches simultaneously with the command. When a downshifting command is output, the controller performs a preliminary downshifting action in advance based on the downshifting command. The partially neutral positions are provided between predetermined angular positions on the shift drum for temporarily reducing the angular speed of the shift drum when the shift drum is being angularly rotated.