"By contrast, 24 percent of respondents said he should run for president again and 15 percent said they were unsure," The Hill said in its report on the survey.
Among Democratic voters, fewer than half (45%) said they want Biden to seek a second term, with 37% hoping the president will let someone else represent their party and 18% who were unsure, according to the poll.
The poll also found 46% of registered voters said they think that Biden has done less than expected since entering the White House while 23% said he's done more than expected and 31% who said he has done about as much as expected.
The poll coincides with recent surveys showing Biden’s overall approval rating in a range between the high 30s and low 40s.
Analysts attribute the decline in Biden’s standing with US voters to a spate of crises, including record illegal migration, the chaotic withdrawal from Afghanistan, the inability to pass his agenda in Congress, and inflation rates not seen in decades.
Among independents – a key bloc of swing voters - 59% said they would prefer another Democratic candidate in 2024, with 17% wanting Biden to seek a second term and 25% who were unsure, the poll showed.
In addition, 87% of Republicans said they hope Biden will be a single-term president, with just 8% wanting him to seek a second term and 5% who were unsure, according to the poll.
The Hill-HarrisX poll was conducted online among 921 registered voters November 9-10.
Earlier this month, a national NBC News poll showed that the approval rating of US President Joe Biden has fallen down to 42 percent, while the American leader himself said after the G20 summit in Rome that he did not care about poll figures.
Another poll conducted by Gallup also revealed that Biden's popularity went down in his first nine months of presidency more than that of any other US president since the end of World War II.
However, Biden seemed not bothered by the approval ratings as he claimed he did not run for office to seek approval from polls, since the numbers rise and fall constantly for every president.
"I ran to make sure that I followed through on what I said I would do as president of the United States," Biden said, emphasizing that other leaders expressed support for Washington at the G20 summit and that the "United States of America is the most critical part of this entire agenda."