Results also indicated most Americans predict their medical care costs will increase because of the Affordable Care Act, colloquially known as Obamacare.
Thirty-five percent of those polled said they support the healthcare law, a 5 percentage point drop in less than a month, results indicated. Sixty-two percent say they oppose the law, up 4 percentage points from November.
"Opposition to Obamacare rose 6 [percentage] points among women, from 54 percent in November to 60 percent now, while opinion of the new law remained virtually unchanged among men," CNN Polling Director Keating Holland said. "That's bad news for an administration that is reaching out to moms across the country in an effort to make Obamacare a success."
Forty-three percent said they oppose the law because it is too liberal, while 15 percent said they oppose the 2010 law because it wasn't liberal enough, results showed.
Sixty-three percent say they believe the new law will increase what they will have to pay for medical care, and 42 percent said they will be worse off under Obamacare personally.
Sixteen percent said the law will help them and four in 10 said it will have no effect on them personally.
Results are based on a nationwide survey of 1,035 adults conducted Dec. 16-19. The margin of error is 3 percentage points.