Over the past three days, several key details of the investigation, including the name of the bomber, first came out in USA media, angering British police who feared such leaks risked compromising their investigation.
Israel's Prime Minister Benjamin Netanyahu said alongside Trump that intelligence coordination between his government and the United States was "terrific".
"Having received fresh assurances, we are now working closely with our key partners around the world including all those in the Five Eyes intelligence alliance", he said.
United Kingdom officials can't understand why the president makes statements such as all America's trade deals are "bad" while claiming he wants a new one with Britain.
Prime Minister Theresa May raised British concerns with Trump at a North Atlantic Treaty Organisation summit in Brussels, telling him intelligence shared between their two countries had to remain secure, a rare public show of dissatisfaction with Britain's closest security ally.
There were multiple bomb scares across Manchester on Thursday, including in the suburb of Trafford where the army was called to an area near a college. "They haven't. Arrogant, wrong & disrespectful", he said.
A police spokesman said: "Potentially suspicious items were found at the address and a large cordon has been put in place as EOD (explosive ordnance disposal) make an assessment".
They included shredded pieces of the backpack the bomber used and the bloodstained detonator.
"Greater Manchester Police hopes to resume normal intelligence relationships - a two-way flow of information - soon but is now furious", the BBC reported earlier in the day.
The leaks prompted a rare public rebuke from May, but ties between London and Washington have been strained for months, according to British officials.
Trump later issued a statement calling the leaks "deeply troubling" and promised an investigation.
In an earlier leak, Abedi's name was given to U.S. media 24 hours after the attack - reportedly against the UK's wishes.
Trump: Administration will "get to the bottom" of leaks problem; orders review and possible prosecution.
Trump reiterated in his statement that he wants the Justice Department to review the matter and any culprits would be "prosecuted to the fullest extent of the law".
"Innocent little girls and so many others were horribly murdered and badly injured whilst attending a concert", he said.
Twenty-two people were killed and 116 wounded.
"Wherever they exist in our societies we must drive them out and never, ever let them back in".
On Tuesday, "U.S. officials" named the suspected attacker as Salman Abedi, hours before the British authorities released that identity. Others were waiting in the foyer to pick up family and friends.
As a result, they're "really, really, really mad about this", Frank says.
Abidi's older brother is among those arrested in England.
A woman arrested in the Blackley area of Manchester on Wednesday has been released without charge.
The leak of intelligence on the Manchester attack happened days after Trump was criticized of sharing classified information with senior Russian officials.
Abedi's father, Ramadan Abedi, was arrested in Tripoli with his brother Hashim, who Libyan security forces said was "aware of all the details" of the attack.