The Commission on Presidential Debates (CPD) has said in a statement that it will change the format of the Presidential debate to ensure the remaining two encounters between Donald Trump and Joe Biden are more orderly.
One new measure could be to cut the microphones if the candidates try to interrupt each other, US media report.
The statement followed the ill-tempered first debate between Mr Trump and Mr Biden that descended into squabbling, bickering and insults.
The tone and tactics of the first presidential debate were criticised across the US and around the world.
The Commission that oversees US presidential debates said in the statement that the debate “made clear that additional structure should be added to the format of the remaining debates to ensure a more orderly discussion of the issues”.
“The CPD will be carefully considering the changes that it will adopt and will announce those measures shortly.
“The commission is grateful to [moderator] Chris Wallace for the professionalism and skill he brought to last night’s debate and intends to ensure that additional tools to maintain order are in place for the remaining debates.”
President Trump constantly interrupted Mr Biden leading to a series of chaotic exchanges in which both men talked over each other.
Mr Trump questioned Mr Biden’s intelligence and Mr Biden called President Trump a clown, telling him to be quiet and saying, “Will you shut up, man?”
President Trump’s team has already criticised the commission’s plans.
Trump campaign communications director, Tim Murtaugh, who had described Tuesday night’s chaotic scenes as a “free exchange of ideas”, disagreed with the commission’s plans.
“They are only doing this because their guy got pummelled last night,” he said in a statement.
“President Trump was the dominant force and now Joe Biden is trying to work the refs. They shouldn’t be moving the goalposts and changing the rules in the middle of the game.”
US President Donald Trump tweeted, “Try getting a new Anchor and a smarter Democrat candidate!”
Kate Bedingfield, deputy manager for Mr Biden’s campaign, said the former vice-president would participate “under whatever set of rules the commission develops to try to contain Donald Trump’s behaviour”.
“The president will have to choose between responding to voters about questions for which he has offered no answers in this campaign – or repeating last night’s unhinged meltdown,” she said.
The discussions following the debate has also been dominated by remarks Mr Trump made about a far-right group called the Proud Boys.
During the debate, moderator Chris Wallace asked whether the president would condemn white supremacists and tell them to stand down during protests.
When Mr Trump asked who it was he was being told to condemn, Mr Biden twice said “Proud Boys”.
The president replied, “Proud Boys – stand back and stand by. But I’ll tell you what… somebody’s got to do something about antifa [anti-fascist activists] and the left because this is not a right-wing problem.”
At a news conference on the White House lawn after the debate, he told reporters, “I don’t know who they are. I can only say they have to stand down and let law enforcement do their work.”
Joe Biden also returned to the issue saying, “There’s no other way to put it: the President of the United States refused to disavow white supremacists on the debate stage last night.”
In his tweet he quoted a comment, addressed to the president, from a Proud Boys online forum that read: “This makes me so happy. We’re ready! Standing by sir.”
