Ford says drivers should use the parking brake to make sure that parked cars don't move.
Dealers will also replace the defective part for free, but Ford doesn't have the replacement parts yet. It will notify owners when the parts are available.
The recalled trucks have 6.2-liter engines. They were built at a Kentucky plant from October 2015 through Thursday and sold in North America.
The company says it is not aware of accidents or injuries due to this defect.