An airbag module to protect the automobile occupant, which includes an inflatable bag (11) from the gas that is produced by a generator when a dangerous situation to the occupant is detected, which includes a number of internal straps (15, 17 and 19) with different lengths and with each having a predetermined resistance to traction, which are joined at their ends to two areas (21 and 23) of the bag (11), limiting its deployment in the direction of the occupant. The length and resistance to traction of these straps are calibrated so that they break in succession during the deployment of the bag (11) until it reaches the occupant.