An automatic manual transmission for a hybrid vehicle provided with an internal combustion engine and with an electrical machine. The automatic manual transmission has: a servo-assisted mechanical gearbox; a differential gear, which transmits the motion to driving wheels; a clutch; a servo-assisted drive device with a variable gear ratio; an auxiliary shaft, along which the electrical machine is mounted; a drive shaft connecting the differential gear to the servo-assisted drive device, which is arranged immediately downstream of the gearbox and directly receives the motion from a secondary shaft of the gearbox; a first connectable/disconnectable and servo-assisted connection device, which is suited to connect the auxiliary shaft to the drive shaft; and a second connectable/disconnectable and servo-assisted connection device, which is suited to connect the auxiliary shaft to the secondary shaft of the gearbox.