Senate Majority leader Mitch McConnell, R-Ky., did not promise fast action on legislation to restore elements of the DACA program that will be phased out under President Trump.
McConnell instead praised the move to end Deferred Action for Childhood Arrivals, implemented by President Obama in 2012.
"President Obama wrongly believed he had the authority to re-write our immigration law," McConnell said in a statement. "Today's action by President Trump corrects that fundamental mistake."
McConnell left out a specific pledge to take up DACA legislation, which Trump has called on Congress to do.
"This Congress will continue working on securing our border and ensuring a lawful system of immigration that works," McConnell said.