British-born Abedi killed 22 people at Manchester Arena following a concert by pop star Ariana Grande on Monday night.
And Mr Trump has now addressed the leak, which has strained relations between Downing Street and Washington, for the first time.
He tweeted: "British Prime Minister May was very angry that the info the UK gave to US about Manchester was leaked. Gave me full details!"
The President, who is back in the US after a nine-day tour of Europe and the Middle East, did not comment further.
Mrs May raised the issue with Mr Trump at a major Nato summit on Thursday and said he branded the disclosures "unacceptable".
Scotland Yard briefly suspended sharing intelligence with US counterparts but has since received assurances from the FBI.
Donald Trump said Theresa May was 'very angry' about the intelligence leaks Army bomb disposal unit called in Police raid in Manchester Thu, May 25, 2017
Police have called in the Army bomb disposal squad at a raid in Hulme, Manchester. This is the first deployment of British troops in terror-related investigations
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Army bomb disposal teams arrive in Hulme, South Manchester
This special relationship will certainly withstand this unfortunate event
US Secretary of State Rex Tillerson flew into the UK on Friday to apologise to Foreign Secretary Boris Johnson for the "unfortunate" leak.
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He said: "With respect to the release of information inappropriately, certainly we condemn that.
"This special relationship that exists between our two countries will certainly withstand this particular unfortunate event."
Secretary of State Rex Tillerson flew to the UK to apologise to Boris Johnson
Ms Rudd last week criticised American intelligence officials for making the details about 22-year-old Abedi public.
She said: "It is irritating if it gets released from other sources. I have been very clear with our friends that that should not happen again."
But when asked if it "compromised" the investigation into the Manchester terror attack, she said: "I wouldn't go that far."
Manchester bomber Salman Abedi killed 22 people in Monday night’s attack
And newly elected Greater Manchester Mayor Andy Burnham said the leak was "disrespectful" to the victims' families.
Mr Burnham added: "I don't want a diplomatic row but this cannot happen again and we need to make that absolutely clear."