The recall involves Edges from the 2012 and 2013 model years with 2.0-liter engines. All of the vehicles were produced between September 2010 and April 2013.
Ford said an improper manufacturing process could cause the damper to crack, resulting in fuel odor or leakage. Fuel leaks can lead to a vehicle fire.
Ford said it discovered the problem through warranty claims. There have been no reports of fires or injuries related to the defect.
Ford dealers will repair the fuel lines for free. The company will begin notifying owners next month.