The Quinnipiac poll was conducted after the rally in Charlottesville, where white nationalists clashed with counter-protesters, resulting in three deaths and at least 34 injuries. A woman was killed after a follower of the so-called alt-right groups drove his vehicle into a crowd. About two in 10 of them (18%) say Trump encouraged them.
Three-quarters of Republican voters (74%) said Trump's behavior hasn't "had an impact either way" on how white supremacists feel.
Are racial tensions on the rise in America?
Some 55% of American voters say there is too much prejudice in the nation and 40% say there is too much political correctness - the widest margin for prejudice since the question first was asked in June 2016.
In a poll released on August 17, the president's approval rating had dropped to 35 percent. I got the white supremacists, the neo-Nazi.More news: Oropendola Definition. Crossword Dictionary.
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Also included in the poll, half of the voters oppose removing Confederate statues from public spaces, while 39 percent support it.
For some comparison, in the same survey, 5% of voters said prejudice against minority groups was "not a problem at all" in the US.
Trump has popularized use of the term "fake news" to criticize news media and reporters that he contends treat him unfairly.
Fifty-four per cent of voters say they disapprove of the job he's doing.
Sixty-eight percent of registered voters said Trump's actions and rhetoric "could get us accidentally involved in an worldwide conflict", while 29 percent disagreed with that statement, the poll found.
According to a Quinnipiac University National Poll, which was released on Wednesday, 62 percent of voters think that Donald Trump is dividing the country.