President Trump was at his New Jersey golf club getting ready to speak at a ceremony for Bipartisan legislation to aid veterans.
"Above all else, we must remember this truth", Trump said.
"What we've seen today in Charlottesville needs to be condemned and called what it is: hatred, evil, racism & homegrown extremism", tweeted Democrat John Kerry, who served as US Secretary of State under Barack Obama.
"No citizen should ever fear for their safety and security in our society".
Speaking in Charlottesville, the city's Mayor Michael Signer said the city would fight back.
Trump said he spoke to Virginia Governor Terry Mcauliffe.
The suspect being held in a Virginia jail in connection with a deadly crash near a scheduled rally of white nationalists has been identified as James Alex Fields Jr., 20, of Maumee, Ohio, according to Superintendent Martin Kumer with the Albermarle-Charlottesville County Regional Jail.
Ahead of the rally that was planned for noon, different groups of protesters clashed with hundreds of white nationalists, Ku Klux Klan members and neo-Nazis throughout the day.
Charlottesville City Manager Maurice Jones said at the conference that 14 people were treated for injuries, "ranging from life-threatening to mild". The vehicle had an OH license plate and the driver was promptly arrested.
The cause of the crash was not known and an investigation has been initiated.
First lady Melania Trump tweeted "let's communicate w/o hate in our hearts".
"She demanded the FBI open an investigation into the violence".
"There were just a few cars that counter-protesters were blocking", the man said.
Earlier Saturday, an altercation broke out during the "Unite the Right" rally.
"Violent acts of hate and bigotry have no place in America". However, a number reporters and witnesses on the scene said on Twitter that the victim, who was driving a Dodge Charger, has been arrested.
"Violence like this will solve nothing and will only beget more violence and sow more division", said Senator Dianne Feinstein.
Mayor Michael Signer said he was disgusted that the white nationalists had come to his town and blamed Trump for inflaming racial prejudices with his campaign a year ago.
"It has no place in America".