This is a constant-mesh transmission that uses special latches, electromagnetic actuators to operate said latches, and an associated computerized control unit to command said actuators and, at the same time, synchronize the speed of the motor/engine and the gear trains with the speed of the transmission output shaft. During gear ratio changes, the transmission control cooperates with the motor/engine control in such a way that speed differences between—and torque transmitted through—the gear trains involved and the output shaft are minimal; this permits effortless and on-the-fly coupling and decoupling of gears to/from the output shaft, without requiring any clutch operation. This transmission can be used in a variety of automotive and industrial applications, and is mainly intended for automotive vehicles with internal combustion engines.