A process for assisting the driving of a vehicle provided with a braking system including brake calipers able to be activated as a function of a target braking force, including the steps of: determining an instantaneous state of the vehicle defined by state variables measured by sensors with which the vehicle is provided; testing a logical entry condition verified when the velocity of the vehicle is zero and when the slope is greater than a pre-defined slope; when the logical entry condition is verified, testing a logical exit condition; automatically operating the braking system to keep the vehicle static on the slope while the logical exit condition is not verified; and automatically releasing the activation of the braking system when the logical exit condition is verified.