According to BBC, he took aim at NBC, which made him a star on The Apprentice, after it reported he wanted to boost America's nuclear arsenal almost tenfold.
Mr Trump labeled the report "fake news" and "pure fiction".
NBC also angered the White House last week when it said the secretary of state had called Mr Trump "a moron".
Mr Trump tweeted on Wednesday morning: "With all of the Fake News coming out of NBC and the Networks, at what point is it appropriate to challenge their License? Bad for country!"
Welcoming Canadian Prime Minister Justin Trudeau to Washington later in the day, the US president denied the NBC story. BBC reports.
"It is frankly disgusting the way the press is able to write whatever they want to write, and people should look into it," he said at the White House.
When asked if he wanted to increase the country's arsenal, Mr Trump said he only ever discussed keeping it in "perfect condition".