President Obama's approval ratings have plummeted to a new low, driven down by the botched rollout to his signature health care reform law, a new poll finds.

The Washington Post/ABC News poll released Tuesday also finds opposition to Obamacare at new highs, as the administration struggles to fix the troubled website and as millions of Americans stand to be dropped from insurance plans which no longer meet the new law's requirements.

Obama’s approval is down to 42 percent, matching his lowest figure in the poll and down a sharp six points in the last month alone. His disapproval rating is at 55 percent, the highest of his presidency.

A majority also have a personally unfavorable impression of Obama for the first time at 52 percent. Forty-six percent view Obama favorably.

Obama is also underwater on questions of credibility and trust.

Fifty-one percent say the president does not understand the problems of people like them to 47 percent who say he does. And by a 50 to 47 percent split, respondents say Obama is not honest and trustworthy.

By a 56 to 41 split, respondents also said Obama was not a good manager. Fifty-three percent say Obama is not a “strong leader” to 46 percent who say he is.

Overall the poll shows weakening support for Obama’s health care law at a critical moment.

Fifty-seven percent of respondents said they oppose Obama’s key domestic achievement, with 40 percent supporting it. That is a sharp change from last month when the public was almost evenly divided on the law.

Nearly two-thirds at 63 percent say they disapprove of Obama's handling of the health care rollout, up from 53 percent disapproval last month.

Obama has defended his health care law, arguing that it is already delivering benefits to millions of Americans despite trouble with the website which is intended to register consumers in new insurance exchanges. Obama has also apologized for his broken promise that Americans could keep insurance plans they liked under the new law, as insurers are cancelling millions of plans that no longer conform to Obamacare regulations.

A majority though still believe that Obama did not intentionally mislead the public about keeping their coverage. Fifty-two percent say Obama spoke what he believed to be true, with 44 percent saying he intentionally misled.

Despite the troubles with the rollout, the administration has yet to accept delaying the law’s individual mandate provision, which fines consumers who don’t have insurance.

The poll finds 71 percent believe the administration should delay the mandate for individuals, with 22 percent saying it should take effect as scheduled.

Overall two-thirds oppose the mandate, with 65 percent opposed and 34 percent in support.

The poll was conducted from Nov. 14 to 17 and has a 3.5 percent margin of error.