The company sold 579 new Jeep Cherokees in October. Sales of the small crossover SUV had been delayed as Chrysler smoothed out its rough-shifting transmission. Chrysler began shipping Cherokees on Oct. 22.
Nissan Motor Co. sales rose 14.2 percent to more than 91,000, an October record for the company. Nissan Division sales were up just over 15 percent, while the company's Infiniti luxury brand posted a 4.5 percent increase from a year ago.
Toyota sales rose nearly 9 percent last month to nearly 167,000 vehicles despite headwinds from the government shutdown, the company said.
Of the automakers reporting so far, only Volkswagen posted a decline at 18 percent. VW is up against strong growth from last year, but many of its models have faltered in 2013.
Industry analysts predict an 8 to 13 percent sales gain for October, with sales running at an annual rate of about 15.4 million for the month. But Chrysler said its calculations show a 15.7 million annual rate, one that would make October the fourth-best month of the year.
The increase follows a 4 percent drop in September because Labor Day weekend was counted in August figures this year.
Analysts say the 16-day government shutdown in early October kept buyers out of showrooms early in the month, but that apparently was just a temporary slowdown.
"It looks like the government shutdown ended just in the nick of time," said Jessica Caldwell, senior analyst at the Edmunds.com auto website. "Consumers started to get jittery by the middle of the month. But with the government back to work, most lost sales should be made up in the latter half of the month."
Auto sales have consistently been a bright spot in the U.S. economy. Sales are closing in on pre-recession rates exceeding 16 million, far above the 2009 trough of 10.4 million.