Trump was asked by a reporter on Wednesday evening if he would commit to a peaceful transfer of power “win, lose or draw” to Democrat Joe Biden. The president currently trails his challenger in national opinion polls with 41 days to go until the election.
“I’ve been complaining very strongly about the ballots,” Mr Trump, a Republican, said. “And the ballots are a disaster.”
When the journalist countered that “people are rioting”, Mr Trump interjected: “Get rid of the ballots, and you’ll have a very – you’ll have a very peaceful – there won’t be a transfer, frankly, there’ll be a continuation.”
Back in 2016, Mr Trump also refused to commit to accepting the election results in his contest against the Democratic candidate, Hillary Clinton, which she characterised as an attack on democracy.
He was eventually declared the winner, although he lost the popular vote by three million, an outcome he still questioned.
Mitt Romney, a Republican senator who is a rarity in his party because he occasionally criticises the president, tweeted on Wednesday: “Fundamental to democracy is the peaceful transition of power; without that, there is Belarus.
“Any suggestion that a president might not respect this Constitutional guarantee is both unthinkable and unacceptable.”
Speaking to reporters in Delaware, Mr Biden said Mr Trump’s comments on the transition of power were “irrational”.
His campaign said it was prepared for any “shenanigans” from the president.
The Democrat’s team also said “the United States government is perfectly capable of escorting trespassers out of the White House”.
Mr Biden has himself been accused by conservatives of stoking unrest over the election by saying in August: “Does anyone believe there will be less violence in America if Donald Trump is re-elected?”
Last month, Mrs Clinton urged Mr Biden this time not to concede defeat “under any circumstances” in a close race on election night.
She raised the scenario that Republicans would try “messing up absentee balloting” and mobilise an army of lawyers to contest the result.
Earlier on Wednesday, the US president defended his decision to seek the appointment of a new Supreme Court justice before the presidential election, saying he expects the vote results to end up before the court.
“I think this [the election] will end up in the Supreme Court, and I think it’s very important that we have nine justices,” the president said.
“I think it’s better if you go before the election, because I think this scam that the Democrats are pulling, it’s a scam, the scam will be before the United States Supreme Court.”
Mr Trump was apparently referring to his much-disputed claims that mail-in ballots are vulnerable to fraud.
The president has said he will name a female nominee for the court this Saturday. She would replace Justice Ruth Bader Ginsburg, who died last Friday.
Mr Trump’s supporters hope his nominee, if confirmed by the US Senate, will cement a 6-3 conservative ascendancy on the nation’s highest court for the foreseeable future.
Every losing US presidential candidate in modern times has conceded, even in very tight electoral results.
These include 1960 when John F Kennedy narrowly beat Richard Nixon and in 2000 when George W Bush beat Al Gore in Florida.