Described herein is a gearbox for a motor vehicle including a plurality of forward gear ratios and a reverse gear ratio, the gearbox further including: a control device (configured for controlling the selection and the engagement of said forward gear ratios and of said reverse gear ratio; and a plurality of engagement devices that can be controlled by means of said control device for engaging the forward gear ratios or reverse gear ratio (RM) of the gearbox that are operatively associated to said devices. The gearbox includes a locking device, which is electrically controlled and configured for preventing actuation of the engagement device associated to a predetermined forward gear ratio, said locking device being configured for being actuated above a threshold speed of the motor vehicle on which said gearbox is installed.