The company says it sold more than 226,000 cars and trucks last month, up from nearly 196,000 a year ago.
Sales of the Chevrolet Silverado pickup, GM's top-selling vehicle, rose 10 percent and sales of the GMC Sierra pickup increased 13 percent.
GM's increase outpaced crosstown rival Ford, which reported a 14 percent gain.
Industry analysts say sales slowed during the first two weeks of October during the partial government shutdown. But they rebounded in the second half.
Healthy increases from GM, Ford and Chrysler are signs that the auto industry recovered from a lackluster September.
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