The Pentagon order obtained by U.S. media on Friday called for Star and Stripes - which needs $15.5m (£11.7m) to continue operations - to be completely dissolved by the end of January 2021.
It was not immediately clear what Trump's tweet meant for the future of the publication.
And senators sent a letter to Defense Secretary Mark Esper this week urging him to reinstate funding.
In a memo sent last month to Stars and Stripes leadership, Pentagon officials ordered the organization to submit a plan by September 15 for shuttering the news organization by January and called for it to discontinue publishing "in all forms" by September 30, the end of fiscal year 2020. On Friday, for example, its website, stripes.com, posted a news story about Trump's denial that he disparaged USA war dead as "losers" and "suckers, " following a report in the Atlantic magazine.More news: Call of Duty: Black Ops Cold War Multiplayer Footage Leaks
But, it is now unclear if Congress, which has struggled to approve a budget in a timely manner, will be able to intervene before the Pentagon shuts down the paper's operations. But if Trump now wants that money for the newspaper, the Pentagon would likely go along.
The Pentagon is pushing ahead with plans to scrap Stars and Stripes, its indepedent newspaper, but lawmakers are fighting to save it.
But a memo signed by U.S. Army Col. Paul Haverstick said the newspaper would be shut down by September 30, the last day of the government's 2020 fiscal year. He called on Congress to continue funding Stripes when the two chambers craft their final fiscal year 2021 Pentagon bills. Those plans will have to be reconciled and then signed by Trump.
"We trimmed the support for Stars and Stripes because we need to invest that money, as we did with many, many other programs, into higher-priority issues", he said during a news conference at North Atlantic Treaty Organisation headquarters in Brussels, following DoD's $740 billion budget submission to Congress. Stars and Stripes is published in print and online. It ceased printing after that war ended before beginning again in World War Two, and has continued ever since.More news: Facebook Messenger gets new WhatsApp-like update for forwarded messages
The top story on the website Friday was headlined, "More than 3,000 VA patients have now died from the coronavirus".
"Many of the active cases remain in southern states, after a surge of cases in the South earlier this summer", the story says. The Pentagon said previously that it would cut $15.5 million from its budget.
And Sen. Lindsey Graham, R-S.C., in a separate letter to Esper in late August, also voiced opposition to the move, calling Stripes "a valued "hometown newspaper" for the members of the Armed Forces, their families, and civilian employees across the globe". It also includes nine members - four Republicans and five Democrats - on the Senate Appropriations Committee, which writes annual appropriations legislation.
Ernie Gates, Stars and Stripes ombudsman, said he was pleased to see Trump pledged Friday to fund the news organization.More news: Covid-19 testing boss blames booking problems on 'significant' rise in demand