Overall, voters oppose the law by 48%-40%, according to the Quinnipiac University survey. Democrats support the Obama health care effort by 70%-19%, while Republicans oppose it by 86%-8%.
The Quinnipiac survey found independent voters opposed to the law by 45%-38%.
Of course, voters won't decide the fate of the health care law in the Supreme Court -- that's up to the justices, and they are likely to make a ruling by late June.
Whatever the court's ruling, health care figures to be a major factor in next year's election. The Republican presidential candidates have vowed to repeal what they call "Obamacare."
The health care numbers are included in a Quinnpiac Poll that also says, "Economic sanctions to stop Iran from developing nuclear weapons aren't effective, American voters say 60%-33%, and 50% of voters say the U.S. should take military action to stop Iran's nuclear program if sanctions don't work."
Obama's performance numbers in the poll aren't so great, notes National Journal:
A new Quinnipiac Poll released on Wednesday underscores the deep challenges facing President Obama next year, particularly when it comes to the groups he needs to win over for his reelection.
Only 44% of registered voters approve of Obama's performance, while half of the country disapproves of his performance, according to the survey. His job-approval rating is only at 42% among independents.
White voters continue to view Obama negatively -- just 37 % back the job he has done as president, the poll found, including only 34% of blue-collar whites. The numbers are better among whites with a college degree -- 42% support Obama -- but that's still a notable drop-off from the support he received in 2008. Then, 47% of whites with a college degree voted for Obama, according to exit polling.