Iranian Foreign Minister Abbas Araghchi said Tuesday that ending the war on all fronts, including Lebanon, is "the most important" issue in the peace memorandum with the U.S. announced Monday.

"The important point I want to emphasize here is that in our view, there are two parties to this memorandum – one side is America and Israel, and the other side is Iran and Hezbollah," Araghchi said during a briefing with foreign diplomats broadcast on state television.

"This is perhaps the most important issue in the memorandum – the declaration of an immediate and permanent end to the war on all fronts, including in Lebanon," he said, adding that ending the war in Lebanon is "an inseparable part of the complete end of the war."

His remarks came Tuesday, a day after Tehran and Washington announced a memorandum of understanding to end the conflict, which broke out Feb. 28 with U.S.-Israeli strikes on Iran and engulfed the Middle East.

Lebanon was sucked into the war in early March when the Iran-backed armed group Hezbollah launched rockets at Israel after the killing of Iran's supreme leader, prompting Israeli strikes and a ground invasion.