US Secretary of State Rex Tillerson said Washington had "no doubt" it was the Syrian leadership behind the attack.
The missiles struck their targets, which also included Syrian aircraft and fuel stations, at 4.40am local time on Friday.
Haley said that while the Syrian government was responsible for the chemical attack, Iran and Russian Federation bear "heavy responsibility" for propping up and shielding President Bashar Assad.
He said Russian Federation firmly stands by the Syrian government, calling it the main force against terrorism and saying it deserves the presumption of innocence in the chemical weapons attack.
In a separate report on the strikes, SANA claimed that the US -led coalition had committed "dozens of massacres against the Syrians" which had left "dozens of civilians dead or injured". The Chemical attack that was carried out on Tuesday led to the death of about 80 civilians, among which were 20 children.
"It is in this vital national security interest of the United States to prevent and deter the spread and use of deadly chemical weapons".
But British Prime Minister Theresa May has backed the controversial move, saying it "was an appropriate response to the barbaric chemical weapons attack launched by the Syrian regime".
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"President Putin considers the United States strikes against Syria an aggression against a sovereign country violating the norms of worldwide law, and under a trumped-up pretext at that", Peskov said.
"After the chemical weapons massacre of April 4 on Khan Sheikhun in northwestern Syria, a military installation of the Syrian regime was destroyed by a United States air strike last night", the statement, issued after a morning phone call, said.
Trump said: "No child of God should ever suffer such horror".
"One way or another, Russian cruise missiles are continuing to strike terrorists and American ones government troops who are heading the war against the terrorists", Mr Kosachev wrote on social media.
The strike - the first direct U.S. action against President Bashar al-Assad and Trump's biggest military decision since taking office - marked a dramatic escalation in American involvement in Syria's six-year war. "The use of chemical weapons against innocent people will not be tolerated".
Trump's core supporters in the USA also turned on him over his change of attitude towards Syria, with right-wing commentators declaring themselves "OFF the Trump train".
The U.S. launched a missile strike in Syria late Thursday in response to a chemical attack officials said was conducted by forces loyal to Syrian President Bashar Assad earlier this week, according to The New York Times.