While BMW is still taking part in a regional recall requested by U.S. safety regulators, BMW spokesman Dave Buchko said it decided to recall all of the model year 2000 through 2006 cars sold globally that could potentially be affected by the issue.
The call back is an extension of last year's recall of 240,000 cars globally for the same issue, he said.
"As a precaution, we just feel now that the right thing to do is just to bring them all in and replace the passenger-side air bag," Buchko said.
Autos already brought in under that program don't need to be repaired, BMW said.
The air bags were supplied by Japan's Takata, which has seen more than 12 million vehicles recalled over the past five years for related air bag issues.
Other brands affected the faulty inflaters include Honda, Mazda, Subaru, Mitsubishi, Ford and Chrysler.
BMW is not aware of any accidents or injuries related to the issue in its cars, Buchko said.
In the latest recall, about 574,000 of the affected cars were sold in the United States, about 450,000 in Germany and about 189,000 in the UK. Last year, BMW recalled 42,000 cars in the United States for this issue.
Bloomberg and Reuters contributed to this report