a system for managing braking of an automotive vehicle including an assisted parking brake with at least one brake actuator capable of acting on at least one wheel of the vehicle and a mechanism applying the parking brake . the system includes a mechanism automatically increasing firmness with which the parking brake is applied after the vehicle engine stops , which includes a module that detects stopping of the engine and a module that commands an increase in the firmness of application . the module is configured to emit a signal characteristic of the stopping of the engine as a function of a status of the engine and of a status of an electrical supply . the module is configured to emit a signal demanding an increase in the firmness of application as a function of a status of the brake actuators and of signal characteristic of the stopping of the engine that comes from the module .