Reports from British paper The Telegraph and CNN said apologies were offered by White House Press Secretary Sean Spicer and National Security Adviser H.R. McMaster.
Britain's intelligence agency had earlier dismissed as "utterly ridiculous" the claims.
The White House will not repeat again claims that British spies snooped on Donald Trump, Britain said Friday after the United Kingdom eavesdropping agency branded them "utterly ridiculous" in a rare public denial.
'That was a statement made by a very talented lawyer on Fox.
Mr Spicer quoted Mr Napolitano as saying: "Three intelligence sources have informed Fox News that President Obama went outside the chain of command".
Leaders from the House and Senate Intelligence Committees asked the Justice Department for evidence after Trump called for a congressional inquiry into his as-yet-unproven wiretapping claims.
White House press secretary Sean Spicer used the allegation in an effort to validate an as yet unproven claim by Trump's that Obama tapped his phones past year.
Mr Spicer's intervention came shortly after the US Senate Intelligence Committee released a statement saying it had seen no evidence to support the US president's claim - made in a series of Twitter posts earlier this month - that Mr Obama had bugged Trump Towers.
On Friday, the Justice Department said it had complied with requests from the Intelligence and Judiciary Committees in both houses of Congress for information related to surveillance during the 2016 election.
Manchester City confident over potential deal for Lionel Messi
While I wouldn't say it's a must win for Pep, it's certainly a "must not lose" for Liverpool . Liverpool finished eighth in the Premier League and without a trophy last season.
Ranking member Rep. Adam Schiff, a California Democrat, said he was "absolutely confident" the DOJ report would not back up Trump's allegation.
He added: "We have received assurances that these allegations won't be repeated and this shows the administration doesn't give the allegations any credence".
Spicer spoke to Darroch face-to-face at a White House St. Patrick's Day event, according to a British government official, who described the meeting as "serious" in tone and said it was not cordial. We aren't responsible for you believing them.
"We're talking about the president of the US". Mr. Johnson said he was one of the sources for Mr. Napolitano's claim about British intelligence.
Susan Rice, national security adviser in the Obama administration, said Spicer's claims put the intelligence-sharing relationship between the United States and UK at risk."The cost of falsely blaming our closest ally for something this consequential can not be overstated", she wrote on Twitter.
Trump has accused Obama of ordering wiretaps at his Trump Tower in NY, but two weeks after the extraordinary claim, he has not delivered any evidence. "Nothing found. This is McCarthyism!" he tweeted.
Fox News said it could not confirm the allegations.
"But wiretap covers a lot of different things. So you shouldn't be talking to me; you should be talking to Fox".