"The automatic transmission parking pawl may become contaminated or the park rod may become dislodged or broken," said NHTSA in its recall summary. "This may prevent the transmission from shifting into the Park position.
"If the shift indicator displays 'Park" but the park lock does not engage, the vehicle may roll away, increasing the risk of a crash."
FCA US said it is unaware of any related injuries or accidents.
"Inconsistent assembly procedures at a supplier's plant have been linked to five reports involving customers who could not shift their vehicles into Park," the automaker said in a statement on Thursday. "Without Park, a vehicle may be subject to inadvertent movement."
The affected vehicles were built from March 9, 2014 to December 15, 2014.
Chrysler dealers will inspect and, if required, replace the transmission. In the interim, customers who own models with V6 engines are advised to activate the vehicle's parking brake before shutting off its engine, because the shifter may incorrectly indicate Park is engaged.
The recall is expected to begin on April 10. Owners can contact Chrysler customer service at 1-800-853-1403.
Edmunds says: Owners of these cars will be advised when they may schedule service, FCA US said. Contact your dealer now if you have an immediate concern.