Trump is required to provide Congress a report on the nation, but is not required to deliver it in a live, televised address before US lawmakers.
He described Pelosi's letter - informing him that the House would not vote to permit him to speak on the floor until the government reopens - as "a disgrace" and "a great blotch on the incredible country that we all love".
House Democrats will not negotiate a resolution to the border wall, said House Speaker Nancy Pelosi Thursday, as she dismissed any rumors that Democrats are working to offer a resolution to President Trump, as a solution for ending the partial government shutdown.
The fight over the State of the Union - which led Trump to deny Pelosi use of a military plane for a trip to Afghanistan - so irritated McConnell that it prompted the majority leader to intervene in the shutdown standoff, which he previously said was up to the president and Democratic leaders to solve.
The president said: "This will go on for a while".
"You heard from the [FBI agents] association because of the shutdown that they had no funds to pay for investigation and prosecution of cases including child exploitation, cyber warfare", she said.
Wednesday marked day 33 of the partial federal government shutdown.
Trump wants to deliver the speech Tuesday as planned. Trump wrote, formally accepting an invitation that Pelosi had originally extended on January 3.
Pelosi was quick to respond in a tweet of her own.
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Pelosi's moves have left the White House scrambling to devise an alternative plan for the speech, which is one of the president's top opportunities to lay out his agenda to the public.
"It would be, I think, remarkably petty of the speaker to disinvite the president of the United States to address the nation that they both serve at the highest level".
President Donald Trump says he is planning to deliver his State of the Union address next week in front of a joint session of Congress - despite House Speaker Nancy Pelosi's request that he delay.
"Hemingway knocked Pelosi for offering a not-so-serious "$1" for Trump's border wall and playing a role in breaking institutional norms.
He added that she "then changed her mind because of the shutdown, suggesting a later date".
"You have heard from the air traffic controllers, pilots and flight attendants that we have a growing concern for safety and security".
Pelosi last week cited the impact of the ongoing shutdown on the Department of Homeland Security and the U.S. Secret Service.
Counselor to the President Kellyanne Conway in an interview with Fox News Wednesday spoke out against a comment by the network's chief White House correspondent John Roberts that the back-and-forth between President Donald Trump and House Speaker Nancy Pelosi had become "vicious".
Trump spokeswoman Sarah Huckabee Sanders, even as officials continued to work on a backup plan to have the president speak somewhere else.