A method actuates two clutches which transmit torque in parallel in a drive train of a motor vehicle and have different successive fixed speed transmissions as gear stages between a drive shaft and an output shaft. The clutches are triggered during acceleration processes of the motor vehicle that both clutches simultaneously transmit torques and a resulting transmission of torque takes place continuously between the drive shaft and the output shaft. The rotational speed of the drive shaft is greater than the respective rotational speed of the respective transmission input shaft of the respective partial train at the secondary end of the respective clutch during the entire starting process, or the rotational speed of the drive shaft is greater than or the same as the respective rotational speed of the respective transmission input shaft of the respective partial train at the secondary end of the respective clutch during an acceleration process.