"It didn't go far enough," said the democratic rep. Bobby Rush of Illinois to CNN's Erin Burnett on "Erin Burnett OutFront" on Tuesday night.
The remarks of the congressmen triggered bipartic rebellion, and House Republican leader Kevin McCarthy in California announced on Monday that the King would not be in any committee in this congress as a punishment.
Rush said the decision, approved by 424-1, was "low" and "small import" to US citizens. He said it "became obsolete before the ink on the paper was dried."
Rush told CNN the decision "fell very short" of what he believes lawmakers' actions should have been in response to King's comments. Rush has introduced its own censorship resolution, representing a stronger fight specifically focused on Iowa Republican.
Rep. Jim Clyburn of South Carolina, the third-ranked Democrat in Parliament, told CNN's Anderson Cooper on "Anderson Cooper 360" that he had chosen to get members to vote for the disapproval of King, as opposed to the strongest solution of censorship, to get support from as many of them as possible.
"When you want the Congress to deal with overwhelming support, you try to get the language you feel people will be safe with," he said. "So what we were trying to do is to make Parliament express disapproval of Mr. King, (and) at the same time condemning white supremacy and white nationalism."
Clyburn added that "going beyond this I decided that I would not give the number of votes I would see today."
Rush told Burnett that he would have members of the House move on, "to reject to revive that he actually censor Steve King. comments should not be given a moment for consideration of this US Congress."
Kong voted in favor of the resolution and said on the house floor that he agrees with " the language of it "which refers to the part that condemns white supremacy and white nationalism. He continues to claim that his comments were taken out of context.
Rush called King "unrepentant" and "racist" and said he has a "legacy and history of saying the most fake things that condemn the Americans". Rush said that King has "used the official status of the Congress … as a platform for spreading his silly and racist comment."
There is growing pressure for the congressman to resign, but the Republicans are far from united on calls for him to step down.
Rush told CNN that he believes Trump is "in concert" with king and is "very knowledgeable in the racist antics of Steve King." He said king "wrote the president's playbook on how a racist really should itself."
Rush said Trump "believes in Steve King. He honors Steve King, he emulates Steve King. He raises Steve King."
CNN's Ashley Killough, Lauren Fox and Elizabeth Landers contributed to this report.