But the poll also found that 26 percent of Americans support full repeal of the law, giving the House GOP firmer footing.
The poll also found Americans evenly split on whether they approve or disapprove of ObamaCare. While 48 percent "strongly" or "somewhat" approve, 46 percent "somewhat" or "strongly" disapprove.
Four in 10 say they think the law will make healthcare for their families worse, while 25 percent say it will have no effect. Just a third of Americans believe ObamaCare will improve their families' health outcomes.
Moreover, Americans believe the law will cost them money, with 57 percent saying it will increase their total health care costs. Just 15 percent believe ObamaCare will lower what they pay for medical care.
That said, 95 percent of Americans prefer having health insurance — a possibility that will open up for millions of Americans with the opening of health care exchanges on Tuesday.