In the U.S., the recall affects more than 18,000 Acura RSX compact cars from 2006, and the Honda S2000 sports car from 2006 to 2007.
The automaker says some power brake booster parts weren't made to specifications. That could cause a decrease in braking power over time and could increase the risk of a crash.
The company says it doesn't know of any accidents or injuries related to the problem. Honda says it discovered the problem by watching warranty claims.
U.S. owners will be notified by mail in mid-July. Dealers will replace the brake booster if needed. RSX owners can call (800) 382-2238 for information, while S2000 owners can call (800) 999-1009. Owners can also visit recalls.honda.com, and recalls.acura.com.
About 70,000 of the recalled cars were sold in Japan. Outside the U.S., the recall includes the 2006 and 2007 Honda Edix, the 2006 Honda Mobilio, the 2006 Honda Spike, the 2005 and 2006 Honda Air Wave, the 2006 Honda Stream and the 2005 and 2006 Honda Integra.
The Associated Press contributed to this report.