A passenger restraint structure for an automotive vehicle has a glove box which has at least one face that is able to be opened to a passenger compartment and is attached to an instrument panel so as to be opposed to the knees of a passenger. The glove box has an intermediate wall connecting a front wall and a rear wall of the glove box. A stiffener member is located between the glove box and a part of a vehicle body and is stiffer than the glove box for crash energy generated between the passenger and the vehicle body in the running direction of the vehicle. Upon impact, the weaker intermediate wall of the glove box is compressed, deformed and broken, thereby absorbing the crash energy.