Officials said the crash was related to the rally.
White supremacists have clashed with anti-Nazi group in the state of Virginia for the last two days.
Charlottesville Mayor Michael Signer also decried the violence and characterized the white nationalists as "outsiders".
" I don't believe that hate is increasing, I think that there has been hateful people out there all along and I think that in today's climate, they feel embolden", says Reverend Richard Hendricks, from Metropolitan Community Church. He said they are not white supremacists and are only interested in free speech.
"Go home", he said. "Lets come together as one!"
Rioting broke out in the centre of the town after a group of white supremacists protested the removal of a statue to the pro-slavery Civil War general Robert E. Lee.
Republican Delaware Senator Cory Gardner, in a tweet, told the president "we must call evil by its name". Marco RubioMarco RubioNew GOP immigration bill would drastically increase border surveillance: report All eyes should be on Nikki Haley McConnell, Trump point fingers MORE (R-Fla.) tweeted.