Syria's Prime Minister has attacked Trump for ordering air strikes in Syria
Mr Medvedev said that the strikes were illegal and "one step away from military clashes with Russia".
Satellite images have revealed that the Shayrat air base that was struck is the home to Russian military helicopters and its special forces.
President Assad's strikes killed at least 70 people
The Trump administration proved that it will fiercely fight the legitimate Syrian government, in a tough contradiction with international law and without UN approval
The Kremlin has armed forces there in a bid to help the Syrian government fight Islamic State.
A Washington spokesman Captain Jeff Davis has said the strikes did avoid the base that is home to the Russians.
American officials did warn Russian forces ahead of the strikes, which aimed at punishing the Syrian government for a chemical weapons attack.
Trump has been warned that he has damaged relationships between Russia and America Trump launches military strike against Syria Fri, April 7, 2017
U.S. President Donald Trump launched 59 Tomahawk missiles against Syria in response to its chemical attack on its own civilians
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Trump ordered a massive military strike against a Syria
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The barbaric, poisonous gas attack, allegedly ordered by President Bashar-al- Assad, killed at least 70 people.
Mr Medvedev said: "The Trump administration proved that it will fiercely fight the legitimate Syrian government, in a tough contradiction with international law and without UN approval."
He added that Trump had completely ruined the relationship between the two countries, "which is good news for terrorists".
Mr Trump said: "Years of previous attempts at changing Assad's behaviour have all failed and failed very dramatically.
"Even beautiful babies were cruelly murdered in this very barbaric attack.
"No child of God should ever suffer such horror."
Assad has said that Syria would respond by striking its enemies even harder.
US officials have said that the strike was a "one-off", aimed at deterring future chemical weapons attacks.
According to the Syrian Army, the US attack killed six people and they have described the act as "blatant aggression".
Russia has also said it is suspending its agreement to communicate with the US regarding the use of Syrian airspace.