The HBO late-night host took particular issue with Carlson's outburst about a "Sesame Street" educational special on race last week.
"One way or the other, it's going to get done," the president said during an interview with Fox News.
The hashtag #IStandWithTucker began trending yesterday after a number of major advertisers deserted the "Tucker Carlson Tonight" show on Fox News.
In a statement provided to Newsweek, CEO of MyPillow Mike Lindell said the company would not be changing its advertising in the wake of numerous companies pulling out of Tucker Carlson's Fox News show.
Disney, T-Mobile, and Papa Johns are among the companies that have pulled their advertisements from the Fox News program, "Tucker Carlson Tonight."
The Fox News host condemned the joint town hall special on racism between "Sesame Street" and CNN.
The Fox News host said the president was the victim of "corrupt" law enforcement officials who wanted to overturn his election win.
Giuliani, who was New York City mayor for two terms, also dismissed the idea that police are out of control as "totally crazy."
The Fox News host took issue with a number of businesses who have made donations to groups such as Black Lives Matter.
The Arkansas Republican has defended his op-ed calling for military response to George Floyd protests.
"Well, it was a false report," the president said.
The Fox News host also said the ongoing scenes of unrest and rioting were a "distressing moment" for the president's supporters.
Senator Tom Cotton, an Army veteran, proposed deployment of troops in cities after a week of violent demonstrations across the nation.
The Fox News criticized protesters setting fires in Minneapolis amid anger over an unarmed black man's death in police custody.
""I just believe strongly that Facebook shouldn't be the arbiter of truth of everything that people say online," the Facebook CEO told Fox News. "In general, private companies probably shouldn't be."
The lawsuit said FOX News "knowingly disseminated false information" on COVID-19 that hampered "implementation of effective mitigation and countermeasures against the virus."
28 percent of voters surveyed said the allegations would play a minor factor in their voting decision, according to the poll.
Fox News host Neil Cavuto raised concerns over the use of hydroxychloroquine, which the president has confirmed he is taking amid the COVID-19 crisis.
"No one is above the law and no one gets special treatment," says one of the advertisements. "Not even the President."
"My numbers aren't rosy," the treasury secretary responded.
"I don't want to sugarcoat any of this because it's so difficult. I don't think the numbers are going to turn up in the next few weeks," Larry Kudlow cautioned.
Gov. Jay Inslee made the comments after President Donald Trump referred to a recent call with governors during a Fox News town hall.
The California congressman told Fox News that handwritten notes showed the FBI were seeking to "set up" the former national security adviser.
The president's son-in-law said "yes" when asked on Fox & Friends Wednesday whether China "owes us a check" and should receive an invoice for the damage the novel coronavirus outbreak has done to the American economy.
The White House coronavirus response coordinator also said ventilator and coronavirus test production would need to "accelerate" before the fall.
The senior White House adviser said Fauci had done a "great job" of helping the Trump administration piece together its guidelines for reopening the U.S. economy.
The host of Tucker Carlson Tonight also argued that the novel coronavirus posed a "miniscule" threat to rural America.
The states are two of a handful of swing states that could decide the 2020 presidential election, but Trump only won each by less than 1 percent in 2016.
A study from The University of Chicago suggests that Fox News viewers who preferred "Hannity" were more likely to die from Covid-19 when compared with those who preferred "Tucker Carlson Tonight."