The National Highway Traffic Safety Administration says the Accord's power steering hose can deteriorate with prolonged exposure to engine heat. The hoses can crack and leak, possibly causing a fire or loss of power-assisted steering.
The recall affects Accords with V-6 engines from the 2003 through 2007 model years. Honda says it has a report of one fire, but no injuries or crashes.
Honda will replace the hoses for free, but the updated power steering hoses won't be available until early next year.
A spokesperson says anyone who suspects they have a leak should take their car to a Honda dealer for an inspection.
The five-passenger Accord is consistently among the top-selling vehicles in the United States, mainly because of its reputation for reliability and fuel economy. For years, it has been the nation's second best-selling car, beaten only by the Toyota Camry.
The Accords are being added to a May recall of 53,000 Acura TL midsize luxury cars in the U.S. from the 2007 and 2008 model years. Acura is Honda's luxury brand.
The replacement hoses for the Accords are different from the hoses in the original Acura recall, Honda said.
The Associated Press contributed to this report.