The death of a woman in car crash in September has been linked to a faulty air bag made by Japanese parts supplier Takata Corp., bringing the total reported deaths connected to the faulty part to eight, the National Highway Traffic Safety Administration and Honda Motor Co. said Friday.

Seven of those deaths were in the U.S.

Car makers have pledged to replace the air bags, made by Japanese parts supplier Takata Corp., in nearly 34 million vehicles, the largest auto recall in U.S. history. The defective air-bag inflaters can explode, sending shards and shrapnel into the vehicle.

Vehicles with the faulty air bags—from Honda sport-utility vehicles to autos produced by Toyota Motor Corp., General Motors Co. and Daimler AG trucks—represent almost 14% of the roughly 250 million vehicles on U.S. roads.

Honda said Jewel Brangman was driving a rented 2001 Honda Civic on Sept. 7 in Los Angeles. The car, Honda said, was eligible to have the front air bags replaced under the company's recall, but no repair was completed.

The company said four notifications were mailed to the car's registered owners under its July 2009 recall, and another under its April 2013 expanded recall. Notifications were again sent in September, but those notifications began after the Sept. 7 crash, Honda said.

"The fact that this was a rental vehicle that had not been remedied is more evidence for why we are seeking authority to prohibit sale or rental of any vehicle with an open safety recall," NHTSA Administrator Mark Rosekind said.

To check if your vehicle falls under the recall, visit https://vinrcl.safercar.gov/vin/

--Mike Spector contributed to this article.

Write to Maria Armental at maria.armental@wsj.com

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