An automated manual transmission for a vehicle may include a shifting section provided with a plurality of shifting units, an input shaft, an output shaft, and a continuously variable power transfer unit disposed between a power providing device and the input and output shafts, wherein the continuously variable power transfer unit includes, a driving conical body selectively engaged to the power providing device, a driven conical body coupled to the output shaft, wherein the driving conical body and the driven conical body have mutual inclination faces correspondingly spaced from each other, and a driving member outer-engaged simultaneously with the mutual inclination faces of the driving conical body and the driven conical body.