Moscow also slammed Britain after Foreign Secretary Boris Johnson canceled on April 9 a trip over Russian support for al-Assad.
In a phone call with Syrian President Bashar Assad, Iranian President Hassan Rouhani called the strike on Friday a "blatant violation" of Syrian sovereignty, Syrian state media reported.
Meanwhile, Italy wants the group to issue a communique that will reinforce the United Nations -backed peace process in the war-torn country, Reuters reported. Assad accused the USA of trying to boost the morale of "terror groups" in Syria.
The US president, Donald Trump, has signaled a dramatic about-turn toward Assad, who many in the global community hold responsible for Tuesday's horrific events.
Democrat senator Elizabeth Warren has hit out at President Donald Trump over his military action against Assad's regime in Syria.
But he said the United States expected Russian Federation to take a tougher stance against Syria by rethinking its alliance with al-Assad because "every time one of these horrific attacks occurs, it draws Russian Federation closer into some level of responsibility".
Russia and Iran have accused the us of crossing "red lines" in ordering the airstrike, and the Russian embassy in the United Kingdom said attempts to push for sanctions could lead to a "real war". "In fact, we were prepared to do more two days ago", McMaster said.More news: National Football League to release 2017 regular season schedules on Thursday
"If we can achieve ceasefires in zones of stabilization in Syria, then I believe - we hope we will have the conditions to begin a useful political process", Tillerson said. The Sunni rulers of Saudi Arabia are in a power struggle for regional dominance with Iran's Shiite government and view Tehran's support of Assad as a threat to the region.
Iranian President Hassan Rouhani suggested on Saturday that an worldwide fact-finding committee should be formed to probe the allegations of chemical weapons attack in Syria.
She said: "We do not see a peaceful Syria with Mr Assad in there".
The Obama administration threatened to attack Assad's forces after previous chemical attacks, but never followed through.
Graham said he wanted the White House to punish Russian Federation for aiding and abetting the Syrian regime.
The governor of Homs, a city roughly 160 kilometers north of the capital Damascus, said at least five people were killed and seven were wounded in the USA strikes, Reuters reported.
"[Russian President Vladimir Putin] views the US strikes on Syria as aggression against a sovereign state in violation of the norms of global law and on a made-up pretext.", said Dmitry Peskov, a Kremlin spokesman, according to the Independent.