"These words offend dreamers who have been brought to this country through no fault of their own, and they offend our entire nation," Rep. Ben Ray Luján (D-N.M.) said on the House floor.

"I don't know what's more disappointing: The most extreme voices in the House Republican conference continue to make appalling comments about the Hispanic community, or that the rest of my Republican colleagues are silent on this kind of offensive and outrageous rhetoric."

House Speaker John BoehnerJohn BoehnerHouse markup of ObamaCare repeal bill up in the air Conservatives to Congress: Get moving Boehner: ObamaCare repeal and replace 'not going to happen' MORE (R-Ohio) did put some distance between himself and King, calling King's comments "wrong" and "hateful."

Rep. Rubén Hinojosa (D-Texas) said Americans expect members of Congress not to make generalizations about groups of people, and to exemplify what's good in the country.

"Recent comments made by one colleague across the aisle are far below those expectations," Hinojosa said of King.

"It is disgraceful that a member of this body would demean this House and what this country represents when you make remarks like that," added Rep. Albio Sires (D-N.J.). "When you make remarks like one of the members made, it's not only ignorant, but quite frankly stupid in not recognizing the history of this country."

"This rhetoric has no place in this institution, and it must stop," Rep. Raul Ruiz (D-Calif.) said.

Later in the day, Rep. Ted PoeTed PoeA guide to the committees: House Lawmakers debate allowing cameras in courtrooms Hey Congress: Where’s the ban on ISIS? MORE (R-Texas) tweeted that he too disagrees with King's comments. "Such inflammatory and hateful comments are out of touch with reality and do nothing to fix our broken system," he said.

On Tuesday, King said his remarks were accurate and said it's accurate to say you can tell that some immigrants have been hauling drugs into the country by looking at their physique.