House Speaker Paul Ryan on Monday shot down the idea that he should enter the 2016 presidential race to unite the Republican Party.

"[I] do believe people put my name in this thing, and I say get my name out of that. This is, if you want to be president, you should go run for president. And that's just the way I see it," the Wisconsin Republican told Hugh Hewitt on his new radio show Monday.

Ryan, who is also the Republican National Convention chairman, is currently in Israel on his first trip abroad as House speaker.

"So you're not the fresh face that Karl Rove was talking about [last week]?" Hewitt asked.

"I'm not the fresh face. I'm not that person. I'd like to think my face is somewhat fresh," Ryan said with a laugh. "I'm not for this conversation. I think you need to run for president in order to be president. I'm not running for president, so, period. End of story."

Hewitt also asked Ryan about the 2012 convention rules and Rule 40(B), which mandates that a candidate has to have at least eight state delegations' support.

"I don't know. That's not my decision," he explained. "That is going to be up to the delegates. I am going to be just an honest broker and make sure that the convention follows the rules as the delegates make the rules. As you probably know, the Rules Committee meets the week before the convention. I believe it's two delegates from each state and territory, about 112 people who will set the rules. And I'm not going to make an opinion or a judgment one way or the other because it's their decision, the delegates' decision, who are the grassroots of the party, by the way. It should not be our decision as leaders. It is the delegates' decisions. So I'm not going to comment on what these rules look like or not."

Ryan's comments Monday echo similar ones he made to the Times of Israel Sunday, shooting down speculation that he would unite the party and become the 2016 nominee.

"I decided not to run for president," Ryan said shortly after arriving in Jerusalem. "I think you should run, if you're going to be president. I think you should start in Iowa and run to the tape."