Honda said the recall covers about 2,033,000 vehicles which were produced between August 2000 and December 2005, including over one million in North America and 668,000 in Japan.
Subject to the recall are a total of 13 types of vehicles including popular Fit and Accord models.
Front passenger airbag inflators could have been assembled with an improperly manufactured propellant component, Japan's third largest automaker said.
That could cause the container of the inflator to rupture in the event of a crash, posing a fire risk or injuring passengers, it added.
The same inflator problem has also caused top automaker Toyota to recall millions of vehicles globally.
Toyota has earlier said it acted as it received a complaint from a Japanese customer who said his passenger seat was burned from the defect.
Honda said the company had received no complaint or reports of injuries on its own.