"I'm thrilled," said Brown, 61. "The coverage is better. It's fantastic."
Among those who've actually tested out the system, only about 1 in 10 succeeded in buying health insurance, the poll found. A quarter of those who tried to buy coverage weren't sure whether they'd succeeded.
Overall, 40 percent of Americans said the launch of the insurance markets hasn't gone well, 20 percent said it's gone somewhat well and 30 percent didn't know what to say. Just 7 percent said the launch had gone "very well" or "somewhat well."
Even among those who support the president's health care overhaul law, just 19 percent think the rollout has gone extremely well or very well. Forty percent say it's gone somewhat well, and 18 percent think not too well or not well at all.
The survey offers an early snapshot on use of the new health insurance exchanges set up by states and the federal government under Obama's Affordable Care Act. Thirty-six states are using the federal government's site, HealthCare.gov, which the Obama administration says has had millions of unique visitors. The administration has declined to release enrollment statistics, saying that will be done monthly.
White House senior communications adviser Tara McGuinness said the administration is working around the clock "to improve the consumer experience," and she stressed that the poll was taken just six days into a campaign over the coming months to educate people about their options.
She added, "The overwhelming attention from millions of Americans checking out HealthCare.gov during the first few days is a good testament to the interest of Americans in new affordable health options."
The Congressional Budget Office has estimated that about 7 million uninsured people will gain coverage through the online insurance marketplaces next year, but the role of the markets is actually much bigger than that.