The YPG meanwhile asked the US -led coalition battling IS to provide air cover over northern Syria, to protect them from Turkish and Syrian government air raids.
The YPG makes up the bulk of the Syrian Democratic Forces, a US-backed alliance of Kurdish and Arab fighters taking on IS jihadists in Syria.
Meanwhile, the USA said it was concerned over the Turkish strikes, as they were not coordinated with the us -led anti-terror coalition.
Turkey's strikes potentially complicate the ongoing USA -led fight against the Islamic State.
Turkey has also been at odds with the United States over military action in Syria, which Washington says is mainly aimed at countering the rising influence of Kurdish fighters in the country. The three groups are now fighting the Islamic State of Iraq and the Levant (ISIL).
A Turkish military statement said the pre-dawn strikes hit targets on the Sinjar Mountain in northern Iraq and also in a mountainous region in Syria. Both officials said there were no US troops among the fighters who were hit.
The Protection Units is among the most effective ground forces battling the Islamic State group, but Turkey says it is an extension of the outlawed Kurdistan Workers' Party and that that group's fighters are finding sanctuaries in neighboring Iraq and Syria.
Cavusoglu said Ankara had "a legitimate right" to carry out such strikes because of the threats against Turkey, urging its allies to support the efforts.
Ann Coulter goes Berserkely while pulling plug on UC talk
He said Berkeley police had reached out to local and state police forces "to let them know we might be calling for assistance". Many were geared up - with helmets, shields and padding - for a confrontation at a public park, just blocks from the campus.
And while Turkey's government sees the YPG as "terrorists", the Syrian regime has maintained cool ties with them, mostly in parts of northeast Syria where they share territory.
In a statement, the Peshmerga said that while the attack was "unacceptable", it blamed forces from the Kurdistan Workers Party (PKK) in the area and called on them to withdraw.
Senior members of the Syrian Democratic Forces sought reassurances from the US government after the Turkish airstrikes.
In a statement, the Turkish military said "the determined terrorist targets were hit" and that it had struck because of weapons being carried into Turkey.
Fighting continued inside the town's south and west on Tuesday, backed by heavy US-led coalition air strikes overnight, according to the Observatory.
Turkey has regularly bombed the mountainous border area between Iraq and Turkey where PKK militants are based since a ceasefire broke down in July 2015.
The air strikes killed at least 18 Syrian Kurdish troops, according to a monitoring group, as well as six members of the Iraqi Kurdish armed forces - known as the peshmerga - and drew swift condemnation from Baghdad.
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