A vehicle occupant restraint system has an airbag, which provides a predetermined support force distribution in the filled (unfolded) state, and at least one energy-absorbing element that is attached to the airbag in order to unfold it or to locally increase the support force thereof. The energy-absorbing element(s) are arranged such that at least one energy absorbing element may apply itself to an occupant, and may at least partially follow the movements of the same at least to a certain extent. The energy-absorbing element has an occupant-protective function, and/or the airbag has a funnel function relative to an occupant to be supported. The occupant is guided toward the center of the airbag during an impact by means of the funnel function, and is possibly also protected laterally by means of the side walls.