The recall involves the Buick Enclave, Chevrolet Traverse and GMC Acadia from the 2014 model year. All of the affected SUVs were built between March 26 and Aug. 15 of 2013.
GM says the engine control module software may cause the fuel gauge to read inaccurately. If that happens, the vehicle might run out of fuel and stall without warning.
The company doesn't know of any crashes or injuries related to the problem.
GM says dealers will reprogram the software for free, starting immediately. The company will also notify owners by mail.
The recall was posted Saturday on the National Highway Traffic Safety Administration's Web site.