Photos and video that were widely shared online showed Harris being beaten by a group of men inside a parking garage. He was served the warrant charging him with unlawful wounding.
Mr Harris's lawyer, S Lee Merritt, said his client did nothing wrong and authorities did not have probable cause to prosecute him.
The attack also left him with a head laceration that required stitches.
Police say DeAndre Harris came to the police department around 8:30 a.m.
DeAndre Harris crouches as he is beaten by white supremacists in a Charlottesville parking garage in August during a "Unite the Right" rally.
Mr Harris surrendered on Thursday a day after police charged a man identified as Jacob Scott Goodwin, 22, in connection with the vehicle park brawl.
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Specialists had issued a warrant for Harris' capture on Monday, October 9, after a man recorded an accuse of malevolent injuring of the officer.
Mr Harris's attorney maintains the torch did not "make significant contact" with Mr Crews, who describes himself on Twitter as a "Southern Nationalist, Attorney".
News of Harris's charge and the issuance of an arrest warrant by a local magistrate surprised many activists, including the Charlottesville police department.
The victim reportedly went to the magistrate's office to try and obtain the warrant against Harris after presenting officials with his account of what happened during the incident.
At a September court hearing, Ramo's lawyer alleged that Harris may have been the one to throw the first punch.