An assembly of an airbag module includes an airbag housing receiving an airbag cushion and a steering wheel having a mounting plate part. The airbag housing has first hooks, the mounting plate part has second hooks coupled with the first hooks, respectively, and at least one of the first and second hooks has a protective member, at least a portion of which is interposed between the first and second hooks to prevent abrasion and contact noise between the first and second hooks due to the elastic movement of the airbag housing to the mounting plate part. The assembly minimizes the striking noise and the abrasion caused by friction between the airbag housing and the mounting plate part through the preventive member due to the elastic movement of the airbag housing to the mounting plate part.