The commission overseeing the US presidential debates says it will change the format to ensure the remaining two bouts between Donald Trump and Joe Biden.
There may be a new way to cut the microphone if US media reports try to interrupt each other.
The announcement sparked Tuesday’s controversial debate, which was bubbly, capricious and abusive.
President Trump’s team has already criticized the commission’s plans.
The tone and strategy of the first presidential debate was criticized in the US and worldwide.
However, after Mr. Trump made comments about a far-flung group called the Proud Boys, the result has also come to dominate.
On Wednesday, he sought to clarify his comments, but his critics said he refused to condemn white supremacists.
What are the plans for the next debate?
The Commission on Presidential Debates (CPD) said in a statement that the debate “makes it clear that additional structure should be added to the format of the remaining debates to ensure more systematic discussion of issues”.
“The CPD will carefully consider the changes it will adopt and announce those measures soon,” it said.
“The Commission is grateful [moderator] Chris Wallace brought in last night’s debate for professionalism and skill and intended to ensure that additional tools to maintain order were in place for the rest of the debate. ”
President Trump interrupts Mr. Biden for a series of frequent chaotic exchanges, in which the two men talk to each other.
Mr. Trump questioned Mr. Biden’s intelligence, and Mr. Biden called President Trump a clown, telling him to shut up and saying: “Will you shut up, man?”
CBS News, citing an informed source, said that the commission would spend the next 48 hours on creating new guidelines and rules for new debate.
Controlling candidates’ microphones topped the list, CBS said, to prevent them from interrupting the middleman or each other.
Both campaign teams will be informed about the rules, but they will not be subject to negotiations, the source said.
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The Commission is a nonpartisan body that has held presidential election debates since 1988.
What is the reaction?
Trump campaign communications director Tim Muerto, who described Tuesday night’s chaotic scenes as “free exchange of ideas”, criticized the plans.
“They are doing this only because their boy was killed last night,” he said in a statement.
“President Trump was the dominant force and now Joe Biden is trying to get the referee to work. He should not move the goalposts and change the rules in the middle of the game.”
Mr Biden’s campaign deputy manager Kate Bedingfield said the former vice president would “run under any set of rules developed by the commission to try to stop Donald Trump’s behavior.”
“The president has to choose between letting voters answer questions for which he has given no answers in this campaign – or repeating last night’s unintended meltdown,” he said.
The next debate is scheduled for October 15 in Miami, Florida.
What did Mr. Trump say about the Proud Boys?
During the debate, moderator Chris Wallace asked if the president would condemn the white supremacists and ask them to stand during the protests.
When Mr. Trump asked who it was he was being asked to denounce, Mr. Biden twice said “Proud Boys”.
The President said: “Proud boys – stand back and stand back. But I will tell you that … someone has to do something about Antifa [anti-fascist activists] And the Left because it is not a right-wing problem. “
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Members of the Proud Boys made the “stand by” comment “historic” and an endorsement.
Mr Biden said Mr Trump had “refused to dismiss white supremacists”.
On Wednesday, Mr. Trump appeared to be trying to back his comments.
At a press conference on the White House lawn, a reporter asked him about the Proud Boys and he said: “I don’t know who they are. I can only say that they should stand down and let law enforcement do their job Should give.”
He did not clarify his use of “stand by” in the debate. When asked if he welcomed white supremacist support, he merely stated that he “wanted law and order to be an important part of our campaign”.
Joe Biden said on the issue in a tweet on Wednesday, “There is no other way to put it: The President of the United States last night refused to dismiss white supremacists on the debate stage.”
In his tweet, he quoted a comment addressed to the president from the Proud Boys online forum Read this: “It makes me very happy. We are ready! Stand by sir.”