WASHINGTON (AP) — Republican presidential candidate Ben Carson says Islam is antithetical to the Constitution, and he doesn't believe that a Muslim should be elected president.

Carson, a devout Christian, says a president's faith should matter to voters if it runs counter to the values and principles of America.

Responding to a question during an interview broadcast Sunday on NBC's "Meet the Press," he described the Islamic faith as inconsistent with the Constitution.

"I would not advocate that we put a Muslim in charge of this nation," Carson said. "I absolutely would not agree with that."

(AP) Republican presidential candidate Ben Carson speaks at a presidential forum... Full Image

He did not specify in what way Islam ran counter to constitutional principles.

In a separate appearance on NBC, one of Carson's rivals for the GOP nomination, Ohio Gov. John Kasich, was asked whether he would have a problem with a Muslim in the White House. "The answer is, at the end of the day, you've got to go through the rigors, and people will look at everything. But, for me, the most important thing about being president is you have leadership skills, you know what you're doing and you can help fix this country and raise this country. Those are the qualifications that matter to me."