A restraint system for a vehicle having sensors for detecting a collision of the vehicle is described. The system has a control unit which analyzes the signals and, in the event of a recognized collision of the motor vehicle, transmits a first signal to a safety belt restraint, which then activates a belt tensioner using a predefined first restraint force, and subsequently transmits a second signal to a front airbag system, which then triggers an airbag. The system has a malfunction monitoring unit for one of the restraint devices such that the control unit transmits a third signal to a replacement restraint device in the event that a malfunction of the front airbag system is recognized by the malfunction monitoring unit.