Ram 1500 4x4 trucks built between June 26, 2012, and Feb. 5, 2013, are involved in the recall.
Chrysler said a software problem may disable the electronic stability control system when the pickups start.
Electronic stability control helps vehicles stay upright and maintain the right direction even if the driver swerves or loses control.
A disabled system increases the risk of a crash.
Chrysler began investigating the issue after getting some warranty complaints.
It said no accidents or injuries have been reported due to the problem.
Dealers will update the software for free.
Chrysler will begin notifying owners next month.
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