The poll, which was conducted by Echelon Insights, found that 55 percent of respondents don't want Trump to seek the presidency that year, and 54 percent said the same for Biden.
Asked about Trump running again, 39 percent of respondents said they were in favor, while 34 percent said they'd like to see Biden run again in 2024, the poll found.
In November, White House press secretary Jen Psaki was asked about Biden's plans to run for a second term and responded, "That's his intention."
While Trump has yet to officially announce a bid for the White House, he has suggested he plans to do so on numerous occasions. During a recent interview with former European Parliament member Nigel Farage
, Trump was asked if he was considering another run.
"If you love the country, you have no choice," the former president said.
In April, Trump told Fox Business News' Maria Bartiromo that he was "100 percent" considering another run for the presidency, adding that he thinks he will "be very successful."
A poll conducted earlier this month by USA Today/Suffolk University found similar results, with a majority of respondents saying they don't want Biden or Trump running in the next presidential election.
Sixty-four percent of respondents said they were opposed to Biden running again, while 29 percent said they were in favor. Fifty-eight percent said they don't want Trump to run again, while 36 percent said the opposite.
The Echelon Insights poll also asked respondents who they would vote for in primary races if Biden and Trump don't run again in 2024.
In a Republican primary, the poll found Florida Governor Ron DeSantis leading all candidates, with 30 percent saying they'd vote for him. Behind DeSantis was former Vice President Mike Pence, who received 12 percent, while Donald Trump
Jr. and Texas Senator Ted Cruz both received 8 percent.
In a Democratic primary, 33 percent said they'd vote for Vice President Kamala Harris if Biden doesn't run. Fourteen percent favored Vermont Senator Bernie Sanders, and 8 percent went with Massachusetts Senator Elizabeth Warren.
If Biden and Trump decide to run again in 2024, the poll found 47 percent siding with the president and 44 percent supporting his predecessor.
The Echelon Insights poll surveyed 1,020 registered voters from December 9 to 13.