In a method and apparatus for restraining passengers in a retaining passengers in a vehicle upon impact with an obstacle, a possible accident is initially sensed. Thereafter, at the latest, whenever the vehicle first contacts the obstacle, or whenever vehicle deceleration exceeds a threshold, a force acting in the direction of impact is exerted upon the passenger via a seat belt system. The force is introduced by bilateral tensioning of a lap belt of a seat belt system, from both sides at a force of at least 2000-4500 N. The latter is maintained for a retaining phase of at least 20 ms along a displacement path of the passenger.