An air-bag device includes an air-bag proper mounted to a center pad of a steering wheel, the air-bag proper having therein upper and lower portions with respect to a condition wherein the air-bag proper is practically expanded; an inflator having gas blow openings exposed to the interior of the air-bag proper, the inflator generating gases which are to be blown into the air-bag proper through the gas blow openings; a trimmed cover covering the air-bag proper in a folded up condition; an ignitor for actuating the inflator to generate the gases; and a unique structure for restricting a flowing of the gases toward the upper part of the air-bag proper.