Sen. Lindsey Graham (R-SC) said on Sunday that deadly terrorist attacks against Israel will continue until Iran is directly held responsible for sponsoring the attacks.

Graham made the remarks during an interview on CBS News’s “Face The Nation” when asked about the Hezbollah attack on Saturday that killed at least 12 children and wounded dozens more.

“Iran is behind all of this,” Graham noted. “And until we put Iran on notice that we’re going to hold you accountable for attacks by Hezbollah and Hamas against Israel, you’re going to get more of the same. The attack of October the 7th was designed to stop normalization, in my view, between Saudi Arabia and Israel.”

“So, until the Iranians believe they’re going to get hit, that we start putting their oil refineries on a target list, you’re going to get more of this,” he continued. “When it comes to Iran, Biden/Harris have been a colossal failure in terms of controlling the ayatollah. They’ve enriched him, and Israel’s paying the price.”

When asked if he thought the conflict could rapidly escalate with Hezbollah, Graham answered: “Yes, what I worry the most about is a sprint to a nuclear weapon. The director of national intelligence gave the Senate a report last week about the status of the Iranian nuclear program and their malign activities, helping their proxies, like Hezbollah and Hamas throughout the Mideast. It was stunning.”

“I am very worried that not only you could open up a second front, but they could use these three or four months before our election to sprint to a nuclear weapon,” he added. “And we have to put them on notice that cannot happen.”

WATCH: