An automatic slowing down system for a vehicle taking a bend includes a computer that integrates a series of instructions to process at least one of first, second and third signals according to kinematic control laws of vehicle displacement to deliver signals for a forward motion actuator and a steering actuator, a forward control and a steering control that supply the first signal representative of a forward motion data and a steering data to the computer based on an operator's requirement, a linear speed sensor and a yaw speed sensor that supply the second signal to the computer, and a unit that supplies the third signal relating to road grip to the computer.