Erdogan, who met with U.S. President Donald Trump at the White House just hours before the fighting broke out on Tuesday, briefly witnessed the brawl in which nine people were left requiring hospital treatment.
"Violence is never an appropriate response to free speech, and we support the rights of people everywhere to free expression and peaceful protest", the statement read.
GOP senators have also condemned the attack as an assault on US democratic principles.
The US respects Turkish concerns about its "by, with, and through" approach to the Syrian Democratic Forces led by the YPG, and will continue consulting with ankara as the focus on combating IS continues, Nauert said.
On Wednesday, the embassy characterized the event in a statement as demonstrators "aggressively provoking Turkish-American citizens who had peacefully assembled to greet the president".More news: G7 finance chiefs talk cyber security in Bari after attacks
The State Department did not say whether any further action would be taken, but Washington, DC police said they were studying footage of the incident and trying to identify suspects.
The United States on Wednesday said it was voicing its "strongest possible" concern to Turkey over violence that erupted between protesters and Turkish security personnel during Turkish President Tayyip Erdogan's visit to Washington. Multiple men repeatedly kick one man on the ground as Washington police try to pull off the attackers.
"This is the United States of America", McCain told MSNBC's "Morning Joe" program.
"Yesterday afternoon we witnessed what appeared to be a brutal attack on peaceful protesters outside the Turkish ambassador's residence", a police spokesman said.
Turkey's official Anadolu news agency labeled the protesters Kurdish "supporters of terror". "The Turkish-Americans responded in self-defense and one of them was seriously injured". "There is no excuse for this kind of thuggish behavior", McCain said on his Twitter account.More news: World court reserves verdict on Jadhav case
"We have every intention to pursue charges against the other individuals involved", read a DC Metro Police statement.
The security detail, he continued, violated American laws on United States ground, and that can not happen.
President Erdogan's security staff can be seen kicking and beating Turkish anti-government protesters in Washington.
Police Chief Peter Newsham said on Wednesday the violence was "not something we tolerate in our city".
The biggest dispute between Turkey and the US recently has been the Trump administration's plans to arm Kurdish Syrian militants fighting the Islamic State group.More news: Swedish prosecutor drops case against Julian Assange
A video shows the Turkish president standing near his vehicle as the fighting ensued, before turning his back and walking into the embassy.
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