Khalil said the Turkish army shelled Syrian villages along the border area Wednesday, prompting an exchange of fire between Kurdish and Turkish border posts.
The Turkish army said it launched strikes against in northern Iraq and northeast Syria "in order to destroy terrorist havens targeting our country".
In the latest complication on an increasingly messy battlefield, Turkish warplanes launched multiple airstrikes on Tuesday against US -backed Kurdish paramilitary forces that have been key to the fight against Islamic State in northern Iraq and Syria.
Turkish warplanes struck suspected Kurdish rebel positions in Iraq and Syria on Tuesday, drawing condemnation from Baghdad and criticism from the USA -led coalition fighting the Islamic State, which is allied with Kurdish factions in both countries.
North Atlantic Treaty Organisation member Turkey considers the YPG an extension of the Kurdistan Workers' Party, or PKK, which has been waging an insurgency in Turkey since 1984.
In Washington, the State Department said it was deeply concerned by the air strikes, which were not authorized by the USA -led coalition fighting Islamic State in Iraq and Syria.
The YPG is a key component of the Syrian Democratic Forces - backed by the United States in the fight against ISIS in Syria.
Turkish warplanes on Tuesday struck targets on Sinjar Mountain in northern Iraq as well as a mountainous region in Syria. Turkey says they're an extension of the PKK, and that PKK fighters are finding sanctuaries in Iraq and Syria.
Turkey had passed on information to the United States and Russian military attaches in Ankara, Muftuoglu said, and Turkish army chief Hulusi Akar also held a telephone conversation with his U.S. and Russian counterparts.
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"These air strikes were not approved by the coalition and led to the unfortunate loss of life of our partner forces", he added.
"It's unthinkable that we are fighting on a front as important as (Islamic State group bastion) Raqa while Turkish planes bomb us in the back", the commander said.
Five members of the Iraqi Kurdish Peshmerga forces, which are also deployed in Sinjar, were killed.
The UK-based Syrian Observatory for Human Rights, a monitoring group which tracks the Syrian war, said that at least 18 YPG fighters were killed in the air strikes in Syria's Hasaka province.
The YPG - which is part of the Washington-backed Syrian Democratic Forces (SDF) - have called on the United States to implement a no-fly-zone in northern Syria, to prevent further Turkish airstrikes.
"These problems and tensions are all because of the PKK's presence".
According to the source channel, the USA advisors and the global coalition were not near the areas of operation.
The PKK is a Turkish-Kurdish rebel group that has been fighting an armed struggle against the Turkish government since the 1980s.
USA military officials were not provided any further information about the location of the target or the objective of the strikes, only that Turkey planned to conduct strikes against terrorist targets. The PKK has been waging a deadly insurgency in Turkey since 1984 that has killed over 40,000 people.
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