The affected vehicles are equipped with an accessory trailer hitch harness.
"When the vehicle's engine is running and the brake lights are illuminated, if the turn signal is activated, the trailer turn signal lights will either turn off or remain continuously illuminated," NHTSA said in its recall summary. "Failure to illuminate the trailer's turn signal lights would prevent the communication of the driver's intent, increasing the risk of a crash."
The affected vehicles were built from May 26, 2015 to January 15, 2016.
There are no injuries, crashes or fatalities, Hyundai spokesman Jim Trainor told Edmunds on Tuesday.
The problem was discovered during a routine quality check at a vehicle processing center.
Hyundai said the issue does not affect any prior model-year vehicles.
Edmunds says: Owners of these vehicles should be prepared to make a service appointment at their dealer next month. Those with an immediate concern should contact their dealer now.