Donald Trump's campaign have rejected calls to tweak the rules of the next two debates between him and Democratic challenger Joe Biden after a first matchup marred by constant interruptions and outbursts.

The chaotic first TV debate regularly interrupt and talk over both Biden as well as the moderator.,

It's prompted America's presidential debates commission to say it would adopt changes to allow for a "more orderly discussion" with the next debate scheduled for Oct. 15 in Miami.

The Biden campaign have said they will accept any changes agreed by the debates commission.

But President Trump lashed out, claiming he would not "allow" the rule changes.

"Why would I allow the Debate Commission to change the rules for the second and third Debates when I easily won last time?" Trump tweeted.

He did not indicate whether a change in rules would affect whether or not he participated - though the President has no power to direct the debate commission's rules.

Both campaigns agreed to the rules of Tuesday's debate, which had envisioned six 15-minute sections in which each candidate had two minutes to answer a question without interruption before beginning a back-and-forth.

"We don't want any changes," Trump senior campaign adviser Jason Miller said on a conference call with reporters about the debates. Campaign officials did not respond to a question about whether Trump would agree to abide by the existing rules.

The 90-minute face-off on Tuesday triggered widespread criticism of Trump and, to a lesser extent, Biden. The Republican president repeatedly bullied Biden and questioned his intelligence, while the Democratic nominee called Trump a racist, a liar and the worst president ever.

In a statement on Wednesday, the debates commission said it would announce changes to the debate format soon.

Biden campaign spokesman Andrew Bates said the former vice president would participate in upcoming debates under the rules laid out by the debates commission.

"The only real question left is whether the President will start following the rules in the next two debates," Bates said in an email.

Trump is seeking re-election to a second term in November.

While Biden leads Trump in most national public opinion polls, polls also show that the two are neck and neck in several states that could determine the winner of the contest.

More than 2 million voters have already cast ballots, with a surge of early and mail voting expected this year due to the coronavirus pandemic.