Washington (CNN) Ohio Gov. John Kasich believes the Senate should invoke the so-called "nuclear option," a procedure that would require 51 votes, not 60, to stop the Iran nuclear deal, he told CNN's Jake Tapper.

"I think they ought to go to the nuclear option in the United States Senate," Kasich said in an interview that aired Sunday on "State of the Union." "It ought to be decided by 51 votes, not by 60 votes or some filibuster."

The nuclear option would alter Senate rules so that only a simple majority is needed to push forward a resolution that rejects the deal.

"There ought to be a vote, and there ought to be extreme measures taken in the United States Senate to achieve it. It is really critical," Kasich said.

"When it comes to a treaty this critical, one that I so strongly oppose, I think the Republicans in the sense ought to say that we are not going to permit this to be blocked because of a filibuster," Kasich added.

Read More