May said she would address parliament on Monday about the strikes.
The British leader detailed that a storage facility, military bunker and a chemical weapons research facility were targeted in the strikes carried out at 4:00 am (0100 GMT).
Professor Iain Begg, Research Fellow at the European Institute and Co-Director of the Dahrendorf Forum at the London School of Economics and Political Science (LSE), told Xinhua: "A volley of bombs may help the USA and its allies feel they have reacted in a timely and proportionate manner to the undoubted horror of the use by the Syrian regime of chemical weapons, but the inevitable worry will be that they have not thought through what happens next".
May added Britain and its allies had sought to use every diplomatic means to stop the use of chemical weapons, but had been repeatedly thwarted, citing a Russian veto of an independent investigation into the Douma attack at the U.N. Security Council this week.
The strikes were conducted with the United States and France.
The former missile base was assessed to have been used by the Syrian regime to "keep chemical weapon precursors stockpiled in breach of Syria's obligations under the Chemical Weapons Convention", the MoD said in a statement.
"This is the first time as prime minister that I have had to take the decision to commit our armed forces in combat - and it is not a decision I have taken lightly", she said.
The Kremlin on Friday claimed that British intelligence forces helped stage the attack on the Syrian town of Douma last weekend.
Sturgeon said the suspected use of chemical weapons was "sickening", but warned that the latest action risked "dangerous escalation".
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"I think it is right that the worldwide community has come together and said we will not accept this", she added.
The 61-year-old politician expressed that Syrian regime had continued to use chemical weapons and will continue to do so affirming that 'this must be stopped'.
Putin's foreign ministry has branded the attacks a "tremendous blow to the negotiation process".
Besides Trump, French President Emanual Macron said in a statement that they also could not tolerate the normalisation of the use of chemical weapons.
Meanwhile, Britain's main opposition Labour leader Jeremy Corbyn described the US -led military strikes on Syria jointly staged by three leading Western countries as a "legally questionable action", saying that the British government should "not taking instructions from Washington".
He warned that intervention would lead to a proxy war with Russian Federation which would be "not only unsafe to Britain, but the entire world".
Polls in recent days have shown public wariness of military intervention in Syria, with Britain still haunted by its participation in the US-led invasion of Iraq.
A YouGov poll for The Times newspaper this week indicated that only a fifth of voters believed that Britain should launch attacks on Syrian military targets and more than two-fifths opposed action.
At this time, my thoughts are with our courageous British servicemen and women - and our French and American partners - who are carrying out their duty with the greatest professionalism. Let the message go out loud & clear: "the use of chemical weapons is never acceptable".