The recall covers Sonata midsize sedans from the 2011 through 2014 model years, and the Sonata hybrid from 2011 through 2015.
Hyundai says in government documents that a fastener for a seat belt anchor may not have been fully latched during assembly. If that happens the belts can detach.
The company says it knows of one minor injury caused by the problem.
The trouble was discovered in September when an owner reported that the front passenger belt in a 2013 Sonata came loose in a collision.
Owners will be notified starting April 7. Dealers will inspect the seat belt anchor system and repair it if needed.
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