The recall affects 600,000 Accord midsize cars in the U.S. and Canada with V-6 engines from the 2003 through 2007 model years.
Honda has a report of one fire but no injuries or crashes. Honda Canada adds that no related fires, crashes or injuries have been reported in Canada.
According to the Transport Canada road safety recall database, roughly 30,000 cars in Canada are affected by the safety notice.
The U.S. National Highway Traffic Safety Administration says the Accord's power steering hose can deteriorate with prolonged exposure to engine heat.
The agency says the hoses can crack and leak, possibly causing a fire or loss of power-assisted steering.
Honda will replace the hoses for free, but it won't have the parts available until early next year.
Any owner who suspects a leak should take their car to a dealer for inspection, Honda spokesman Ed Miller said Monday.
The company that makes the Accord's power-steering hoses had to ramp up manufacturing to make them since the affected cars are more than five model years old and the hoses were out of production, Miller said.
"We're going to start making them and getting them out there as soon as we can," he said.
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.
Also on HuffPost