During their speech, the two Democrats slammed Trump's alleged obsession with the "ineffective, unnecessary" wall he seeks to build along the US-Mexican border, and likening his actions related to the government shutdown to a "temper tantrum".
"Just left a meeting with Chuck and Nancy, a total waste of time", Trump said on Twitter.
"Chuck and Nancy look [like] your parents if they just found a bag of weed in your sock drawer when you were in high school", Justin O'Neil said. Trump wrote. "Because walls work".
Earlier on Wednesday, US Vice President Mike Pence said that the Trump administration was "determined to stand firm" in its push to secure more than $5bn in funding for a wall along the border with Mexico to end what he called a "humanitarian crisis".
Pelosi noted that Trump had rejected bipartisan legislation to reopen the government agencies shuttered as a result of the fight over the wall.
Democrats say the wall would have little impact on real border problems and that Trump's tough approach has instead created a humanitarian crisis among vulnerable, unthreatening migrants.
Pelosi, who is speaker of the House, accused Trump of "holding the American people hostage".
According to Brewer, Trump laid out the crisis of illegal immigration during his Tuesday night speech "perfectly".
So far, Senate Majority Leader Mitch McConnell has not indicated any interest in staging votes on those bills.
Some correspondents have speculated that he may ultimately resort to such a declaration as a last-ditch tactic to allow him to reopen the government without losing face to Democrats. This barrier is absolutely critical to border security.
The president also said that 90% of heroin sold in the United States came from Mexico, though USA government figures make clear all but a small percentage is smuggled through legal points of entry. It is the second longest government shutdown in USA history. He called on them to "get back into the room" to negotiate. "I'd like to see that".
Trump's remarks came 18 days into a partial government shutdown precipitated by his demand for the wall, which he has said is needed to keep out illegal immigrants and drugs.
"This really isn't about the substance anymore". Sanders, a political independent who caucuses with the Democrats, delivered an individual response of his own, separate from Schumer and Pelosi, as he has before on similar occasions, such as the State of the Union. "I think we're going to be here a while".
Cornyn added that there are "discussions" behind the scenes about a compromise. Everyday, custom officers and border patrol agents encounter thousands of illegal immigrants trying to enter our country. If he moves forward with this threat, it will likely face challenges in the courts.
Trump's triumphant 2016 campaign relied heavily on his "build the wall" slogan and since then, he has pushed the idea that the United States is being overwhelmed by unsafe migrants who enter the country illegally.
A new opinion poll suggests just over half of Americans (51%) blame President Trump for the government shutdown. That is up four percentage points from a similar poll that ran from December 21 to 25.