A new poll found a majority in the U.S. disapprove of President Trump's handling of a Monday summit with Russian President Vladimir Putin, but that among Republicans, there's widespread doubt that Russia intervened in the 2016 election.

Overall, 55 percent of poll respondents disapproved of Trump's handling of the Putin summit, and 32 percent approved.

The poll was conducted Tuesday and Wednesday by CBS News, and it found a partisan divide in reaction to the summit, which Trump said Thursday was "a great success, except with the real enemy of the people, the Fake News Media."

Among Republicans, 68 percent approved and 21 percent disapproved of how Trump handled the summit. For Democrats, 83 percent disapproved. Independents were more likely to disapprove than approve, 53 percent to 29 percent.

[Also read: Majority of Americans feel Russia is 'unfriendly,' 'enemy' to US: Poll]

Trump said at a press conference with Putin that he doubted Russia intervened in the U.S. election — rejecting the conclusions of U.S. intelligence agencies, federal prosecutors, and the House and Senate intelligence committees. On Tuesday, Trump backtracked, claiming he misspoke following widespread condemnation, including from fellow Republicans.

The poll found 70 percent of respondents believed Russia intervened in 2016, and 24 percent said they didn't believe it.

Among Republicans, however, just 51 percent believed the conclusion and 42 percent did not believe it. A similar share of Republicans told pollsters they believed then-President Barack Obama was a Muslim.

Trump frequently refers to special counsel Robert Mueller's investigation of possible Trump campaign collusion with Russia as a "witch hunt."

Democrats were far more likely than Republicans to be worried about a possible Russian role in the 2018 elections, with 87 percent of Democrats somewhat or very concerned, compared with 38 percent of Republicans.

The poll, conducted with 1,007 telephone respondents, had a margin of error of 4 percentage points.