The survey was conducted after the press conference in which Trump defended people associated with white supremacist groups and said "both sides" were to blame for the violence in Charlottesville that left one counter-protester dead.
Those remarks provoked a widespread backlash, including the resignation of several members of two presidential business advisory councils that were promptly dissolved.
Mr Trump's response to the Charlottesville protests disappointed top aides, though none offered public criticism or resigned in protest.
The respondents also weighed in on whether they approved of U.S. President Donald Trump's heavily criticized response to the Charlottesville protests led by white supremacists.
Mr Bannon, who clashed with other Trump advisers, was one of the few to enthusiastically endorse Mr Trump's rhetoric after Charlottesville. However, after facing sharp criticism from the USA public, Trump condemned white supremacists and other hate groups for the incident.
Arsenal in search of Sanchez tonic at Stoke
Stoke's new signing made some intelligent early runs and gave Arsenal's defence a nervy start, but soon after they had the striker under control.
Half of the United States population oppose the alt-right movement, 10 percent said that they support the group, while 41 percent indicated that the are unfamiliar with the issue, according to the poll, conducted by ABC News and the Washington Post.
An ABC News/Washington Post poll released on August 21 revealed that almost one in ten Americans, a number equivalent to 22 million people, think it's "acceptable" to hold neo-Nazi views.
Overall, Americans disapproved of the president's response at twice the rate of those who approved, marking a 56 percent to 28 percent split.
Beyond these groups, reactions to Mr Trump's rhetoric is far more negative.
Among Democrats, an overwhelming 84 percent disapproved of Trump's response, compared to just 6 percent who approved of the president's messaging.
Kelli Ward Ready to Welcome President Donald Trump to Arizona
When Donald Trump arrives in Phoenix, he has a key choice to make that could have implications for his legislative agenda. More and more Republican primaries are shaping up to be Establishment Republicans versus Trump Republicans.
Our poll released on Monday assessing opinions of Trump's reaction to the violence in Charlottesville is no exception. Most Republicans, though, approve. Among whites, 49 per cent disapprove, while 35 per cent approve. Disapproval of his response spikes to 66 percent in this group, and 53 percent say he's been equating neo-Nazis and white supremacists with their opponents.
There's far more agreement on whether it's acceptable or unacceptable to hold neo-Nazi or white supremacist views.
The survey is among the first to measure support for the alt-right. The range is from 87 percent approval among conservative Republicans to 10 percent among liberal Democrats.
Also related to the Charlottesville controversy, 10 percent say they support the "alt-right" movement, while 50 percent oppose it; indicating wide unfamiliarity, four in 10 have no opinion. About two in 10 say it does not, while another four in 10 have no opinion on the movement. The margin of sampling error for overall results is plus or minus 3.5 percentage points.
'I have done a bad thing,' accused Kissimmee police killer tells detectives
In Pennsylvania, two state troopers were shot and a suspect killed outside a small-town store south of Pittsburgh on Friday night. The officers were fatally shot in a district where the top prosecutor says she will no longer seek the death penalty.