The recall affects 2011 and 2012 Chevrolet Traverse, Buick Enclave and GMC Acadia vehicles registered in 28 cold-weather states and Washington, D.C.
Federal safety regulators say ice and snow can build up and restrict movement of the wipers. That can make the wiper arm come loose and cause it to stop working, increasing the risk of a crash.
GM says dealers will fasten the wipers tighter than factory specifications to stop the problem from happening. The company says the loss of wipers hasn't caused any crashes or injuries.
GM will send letters to owners and start the recall later this month.
The recall includes crossovers registered in Alaska, Colorado, Connecticut, Delaware, Idaho, Illinois, Indiana, Iowa, Maine, Maryland, Massachusetts, Michigan, Minnesota, Montana, Nebraska, New Hampshire, New Jersey, New York, North Dakota, Ohio, Pennsylvania, Rhode Island, South Dakota, Utah, Vermont, West Virginia, Wisconsin, and Wyoming.
Repairs will be made at no cost to the owners.
GM dealers also will tighten the wiper arm nuts on crossovers registered in other states if the owners ask.