The South Carolina governor is the fourth confirmed cabinet member.
"Nowhere has the UN's failure been more consistent and more outrageous than in its bias against our close ally Israel," Republican South Carolina Governor Nikki Haley said.
Trump adds two cabinet nominees right before Thanksgiving.
Warren and others are criticizing Trump for a lack of diversity—both gender and racial—in his Cabinet picks.
Obama and Haley offered a plea for optimism and a quest for common ground.
The South Carolina governor confirmed she was referencing Trump as one of the "angriest voices" during her GOP response.
Haley encouraged Republicans to recognize their contributions to the "erosion of the public trust."
Trump said the address was "really boring, slow, lethargic—very hard to watch!"
The gunman who allegedly killed nine people in Charleston last month posed in photographs with the Confederate flag.
Legislators on Tuesday took their first steps toward removing the flag.
South Carolina is one of 31 states where the death penalty is legal.