The kingdom is among the most vehement opponents of Syrian president Bashar al-Assad and supports Sunni rebel groups fighting to oust him.
The chemical attack on Khan Sheikhoun on Tuesday triggered a US missile attack two days later that struck a Syrian air base in central Syria with 59 missiles, killing nine people.
Washington said the air strikes came as retaliation to the chemical attack.
Warplanes on Saturday struck the Syrian town where a chemical attack had killed scores of people earlier this week, as Turkey warned that a retaliatory USA missile strike on a Syrian air base would only be "cosmetic" if greater efforts are not made to remove President Bashar Assad from power.
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"Saudi Arabia fully supports the U.S. military operations against military targets in Syria, which were a response to the regime's use of chemical weapons against innocent civilians", a foreign ministry official told the state SPA news agency.
Moscow and Tehran condemned United States strikes saying they are "a violation of worldwide law".
Israeli Prime Minister Benjamin Netanyahu said on Friday he supports the "strong and clear message" sent by the USA strikes. He said that "no child of God should ever suffer such horror" and that the attack caused a "slow and brutal death for so many".
However, he said that claims the Syrian government is behind the chemical weapons attack are "bogus".
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The official source places the responsibility for these military operations squarely on the Syrian regime.
Malcolm Turnbull, the Australian Prime Minister, applauded Trump's decision to launch the strikes, saying that it was a "calibrated, proportionate and targeted response".
Meanwhile, Bolivia has requested the UN Security Council hold closed-door consultations on Friday about the missile strikes, a senior Security Council diplomat said.
Russia calls for emergency UN meeting after US strikes on Syria
He said that the strike also send a message to Chinese leader Xi Jinping ahead of their summit in Florida. The U.S. strike drew quick reactions from the friends and foes of the Syrian government.