U.S. new-car sales rose in September, led by double-digit percentage gains at General Motors Co., Nissan Motor Co., Honda Motor Co. and Chrysler Group LLC, on rising demand for sport-utility vehicles and pickup trucks.

GM and Chrysler, a unit of Fiat Chrysler Automobiles NV, both reported a 19% jump over September last year, while Ford Motor Co. posted a 3% decline as it prepares to replace several models, including its most popular…