DETROIT — GM reported its first monthly gain in U.S. sales in almost two years while Toyota and Ford also improved, a sign the auto industry it starting to crawl back from a yearlong slump.

Demand for new cars and crossovers in October fueled better results for General Motors Co. and Detroit rival Ford Motor Co. GM’s sales rose 4.7 percent from October 2008, while Ford notched a 3-percent gain. Japanese rival Toyota Motor Corp. said its sales edged up less than a percent. Less rosy news came from Chrysler Group LLC, whose sales fell 30 percent, though they improved from September.

The biggest winners were Hyundai, based in South Korea, whose sales jumped 49 percent to 31,005 vehicles, boosted by its fuel-efficient Elantra sedan; and Japanese automaker Subaru, which saw a 41-percent surge, helped by strong sales in its Outback and Forester models.

Automakers had said October would be a test of the strength of the auto market after the volatile effects of the government’s Cash for Clunkers program. The industry staggered through a tough September, hurt by the collapse of demand following the clunker rebates that fueled a sales surge over the summer.

The mood was in contrast to a year ago, when consumers were frightened away from showrooms by the early effects of the financial meltdown and credit freeze.

Ford’s top economist Emily Kolinski Morris said October sales signal a real underlying demand for new vehicles after the distorting effects of the clunkers program. The economy, she said, is “in transition from recession to recovery.”

“We expect consumers to remain cautious as the recovery continues,” she told analysts and reporters during a conference call.

More than 80 percent of Ford’s sales last month came from 2010 models, which also helped the company lower its incentives.

That was in line with the industry, which spent less to give car buyers big rebates. Automakers focused on clearing out old inventory and on selling 2010 models, which are not discounted as heavily.