He said PKK fighters and members of what Turkey calls the Fetullah Terrorist Organisation (FETO) were united in protest against him at a short distance of 40-50 metres from where he was with his bodyguards.
The Turkish foreign ministry officially "invited" the USA ambassador in for discussions after the announcement.
The clash happened as Erdogan arrived at the ambassador's residence after a White House meeting with President Donald Trump on May 16.
Nine people were injured, with several going to the hospital for treatment of head injuries, broken teeth, deep cuts and bruises.
Rex Tillerson, US secretary of state, said the charges "send a clear message that the United States does not tolerate individuals who use intimidation and violence to stifle freedom of speech and legitimate political expression".
"We all saw the violence that was perpetrated against the protesters", Newsham said.
On the other hand, more than 1,200 people, including security force personnel and civilians, have lost their lives since the PKK - listed as a terrorist organisation by Turkey, the U.S. and European Union - resumed its decades-old armed campaign in July 2015.
Ankara has strongly condemned the decision by USA authorities to issue arrest warrants for members of President Recep Tayyip Erdoğan's security personnel and several Turkish citizens.
And, as they had in an earlier summons with the ambassador, they accused the United States of not disciplining two American officers who they say briefly detained two Turkish security officers hours after the May 16 brawl.
Kilicdaroglu said he did not believe the government would have the "courage" to stop the march or detain him "because the march is within the limits of the law".
The Metropolitan Police Department said in a brief statement that Sinan Narin had been arrested in Virginia on an aggravated assault charge.
Two other defendants are Canadian, while the remaining 12 are Turkish nationals, according to ABC News.
The department released no further details about the men but said additional information would be available Thursday. During President Erdoğan's visit to the US on May 16, supporters of the PKK terrorist organization, officially recognized as such by the USA, triggered a melee outside of Turkey's embassy in Washington, D.C. Following the incident, the Turkish Ministry of Foreign Affairs stated that the failure by USA authorities to effectively take precautions was the main cause of the incident.
Newsham recounted how video near the residence showed some attacking protesters with their fists and feet.
Close-up footage shared on social media showed Turkish officials dressed in suits beating and punching people in the crowd and, in at least one case, kicking out at a woman splayed on the ground. In all, nine people were hurt. He also said two arrests were made Wednesday. "We host millions of people who come to the seat of their government to protest peacefully". Turkey summoned the USA ambassador in Ankara to protest the warrants.
Asked if the U.S. will request the extradition of the bodyguards from Turkey, she refused to answer.