The Times also said that "Johnson wants the G7 to issue a joint declaration that Russian Federation should end its support for the Assad regime, and remove its forces from Syria to enable aid convoys to return".
The United States struggled Monday to explain a Syria strategy that has yet to clarify key questions: Whether President Bashar Assad must go, how displaced Syrians will be protected and when America will feel compelled to take action.
The joint statement appeared on the military media arm of Hezbollah.
The Kremlin said in a statement Rouhani also spoke with Russian President Vladimir Putin by phone.
He added: "Both sides emphasised that such aggressive actions against a sovereign independent country are a flagrant violation of global law, above all, the UN Charter, create threats for regional security and impair the fight against worldwide terrorism".
Eighty-six percent of Republicans say they support the USA strike.
Gorsuch pledges to be 'servant' of Constitution
This is the first time in American history that a former law clerk has joined his boss on the benches of the Supreme Court. Mr Gorsuch's nomination followed a bitter battle in the Senate.
Slightly more than half of Americans are also in support of a USA policy to remove Assad from power. There were no indications anyone was hurt.
May, who is on a walking holiday in Wales, spoke on the phone to the Canadian prime minister, Justin Trudeau, on Sunday, her spokesman said, and both backed the U.S. missile strike.
Iran has provided crucial military and economic assistance to Assad throughout Syria's six-year civil war. It has organized several Shiite militias from around the Middle East to fight in support of Assad's government and has sent troops and officers from its own Revolutionary Guards.
At the weekend, USA ambassador to the UN Nikki Haley suggested regime change in Syria was inevitable in the wake of last week's chemical weapons attack that was widely blamed on the Assad regime. Turkey provides military support to some of Syria's opposition forces. "There's not any sort of option where a political solution is going to happen with Assad at the head of the regime", Haley told CNN.
In a 2013 agreement with the Obama administration, Russian Federation said it would work with Syria to get rid of its chemical weapons stockpile.
The two leaders who talked on the telephone on Sunday said an impartial investigation should look into the chemical weapons attack on Syrian civilians last week.
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