Later that day, the Washington Post reported on a phone call that bereaved father Chris Baldridge said he had received from the president.
During his call with Trump, Baldridge, who is a construction worker, said he was frustrated with the military's survivor benefits program, which sends a death gratuity of $100,000 to the beneficiary.
A White House spokeswoman told The Post that the check had been sent.
'It's disgusting that the media is taking something that should be recognised as a generous and honest gesture, made privately by the President, and using it to advance the media's biased agenda'.
According to The Washington Post, it took former president Barack Obama 18 months to fulfil a similar promise to the family of Kayla Mueller, who was killed while being held captive by Islamic State in Syria in 2015.
Trump apparently also made the claim that he has called the families of every soldier who has died since he has been in office, but The Washington Post reported he's spoken with less than half of them.
"I had a very nice conversation with the woman, with the wife who ... sounded like a lovely woman", he said.
Ms Wilson said: 'Basically he said, "Well, I guess he knew what he signed up for, but I guess it still hurt"'. Neither has yet happened, Baldridge said. "Just a letter saying "I'm sorry".
"The money doesn't mean anything to me at all-not even a little", she said.
The recent controversy began with the deaths of Staff Sergeants Bryan Black, Jeremiah Johnson, Dustin Wright and Sergeant La David T Johnson, who were patrolling with Niger troops when they were ambushed by militants thought to be affiliated with terror group Isis.
This revelation comes amid a shaky week for Trump and military families.
Rep. Frederica Wilson of Florida said Trump told Myeshia Johnson - the widow of Sgt.
Trump has been feuding with a congresswoman over a call he made to the widow of another dead soldier.
"We got a condolence letter from him and there was no cheque, and we kind of joked about it".
"President Trump did disrespect my son and my daughter and also me and my husband", Jones-Johnson told The Post.
"The check has been sent", Lindsay Walters, White House spokeswoman, told CNN on Wednesday.
Johnson's mother, Cowanda Jones-Johnson, told The Associated Press on Wednesday that the congresswoman's account was correct.
Mr Trump had suggested that he was rare among presidents in that he either wrote or spoke with relatives of service members killed in action. Obama had first said he'd make a donation 18 months earlier and in a letter to the family past year said the delay had been a mistake.