"I discussed these plans in detail with Secretary Tillerson", Johnson said, adding that the U.S. foreign minister would still visit Moscow as planned following the G7 meeting to "deliver that clear and coordinated message to the Russians".
The strikes, which activists said left at least one woman dead and three others injured, came a day after the United States launched 59 missiles at a Syrian air base in response to the gas attack that killed upward of 80 people. US President Donald Trump said there was no doubt Assad was responsible for the attack.
The Senate's No. 2 Republican, John Cornyn of Texas, says Trump's move sends a strong message to rogue nations, and agrees that the US needs a broader strategy.
"This man who is now in office in America claimed that he wanted to fight terrorism but today all terrorists in Syria are celebrating the USA attack", Rouhani said in a speech aired by state television.
"We strongly condemn the illegitimate actions by the US The consequences of this for regional and global stability could be extremely serious", Russia's deputy UN envoy, Vladimir Safronkov, told a meeting of the UN Security Council on Friday.
Neil Gorsuch sworn in as US Supreme Court justic
Also in attendance was Maureen Scalia, widow of the late Justice Antonin Scalia , along with her eldest son Eugene. Senate republicans refused to hold hearings for Merrick Garland , and democrats filibustered Gorsuch.
Mr Tillerson is expected in Moscow for talks with Russian officials next week.
The US had initially focused on diplomatic efforts, pressing the United Nations Security Council to adopt a resolution drafted with Britain and France that would have condemned Syria's suspected use of chemical weapons. He did not rule out further strikes on Syria if Assad continued egregious attacks against rebel forces with chemical or other weapons.
GEORGE STEPHANOPOULOS: You praised President Trump's strike this week as a first step in a longer strategy.
Over 100 of these aircraft are purpose-built for ground attack purposes - such as firing chemical weapons. And on its way out the door in January of this year, the Obama Treasury quietly introduced new sanctions against Syrian officials involved in chemical warfare.
"Once again this resembles the story with Colin Powell's white powder or reports to the United Kingdom prime minister about the claimed chemical weapons in Iraq", said a spokesman for Russian Defense Ministry Maj.