Honda said it recalled about 2,033,000 vehicles which were produced between August 2000 and December 2005, including more than one million in North America and 668,000 in Japan.
Two other automakers -- Mazda and Nissan -- also recalled hundreds of thousands of vehicles over the same problem, which was also responsible for earlier recalls by Toyota.
Japan's Takata Corp., which made the airbag, noted its US subsidiary had manufactured the airbag, apologising for the problem and vowing to make its utmost efforts to prevent a recurrence.
"We apologise deeply for causing tremendous trouble and worries to client companies, users of our products and other people concerned," the company said in a statement.
Nissan recalled a combined 755,000 vehicles, including 128,000 in Japan and 627,000 overseas.