The ministry also spoke out in support of removing Syrian President Bashar Assad and his government, while calling for the establishment of a transitional government.
Syrian officials have also said the strike has killed at least seven people, including children.
Recep Tayyip Erdogan has dominated the Turkish political scene since 2003Turkey sees US military strikes on chemical weapons sites in Syria as "positive concrete steps" but not enough, Erdogan said at a rally in the border province of Hatay, adding "I hope this operation marks a beginning".
"Is it enough? I don't see this as enough. the time has come for steps for a serious result to protect the oppressed Syrian people", he added.
Within hours of the US cruise missile strikes, Turkish President Tayyip Erdogan described the action as a "positive and concrete step against the war crimes of the Assad regime" and said the worldwide community must do more.
"We will listen to what Tillerson has to say (about the USA missile strike in Syria)".
A Saturday airstrike by the USA -led coalition killed at least 21 people, including a woman and her six kids on a boat in the Euphrates River, according to activists.
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Russia's foreign ministry has dismissed the United Kingdom as having little real influence over world affairs after the Foreign Secretary cancelled a visit to Moscow.
"The U.S informed Turkey before it attacked a Syrian base at Friday dawn".
Russian Federation has backed Syria for much of the six-year conflict, and has used its veto power in the UN Security Council on several occasions to prevent action being taken against the Damascus government. "The destruction of the Sharyat airbase marks an important step to ensure that both chemical and conventional attacks against the civilian population do not go unpunished", he added.
"The only way to receive and present to the whole worldwide community any objective evidence on the alleged presence of poisonous substances at Shayrat is to send a mission of professional experts there", the defense ministry statement said.
The YPG is a key part of the Syrian Democratic Forces (SDF) alliance which is receiving US military support.
"If this intervention is limited only to an air base, if it does not continue and if we don't remove the regime from heading Syria, then this would remain a cosmetic intervention", he said.
Tillerson noted he hopes Russian Federation will be "supportive of a process that will lead to a stable Syria". "A major player in northern Syria, albeit with no good options to escalate".