"I have a message to white supremacists and nazis who came into Charlottesvilletoday", Virginia Governor Terry McAuliffe said at a televised press conference on Saturday evening. "I urge all people of good will - go home", said Charlottesville Mayor Mike Singer.
Later this month, alt-right groups are planning to hold two rallies in Berkeley and San Francisco.
Charlottesville Mayor Michael Signer, who confirmed one person had been killed, said he was disappointed the white nationalists had descended on his town and blamed Donald Trump for inflaming racial prejudices with his campaign a year ago.
A vehicle plowed into a group of the counterprotesters Saturday, killing a 32-year-old woman and leaving 19 others hurt.
One person was killed and 19 others injured after a auto allegedly driven by Fields plowed into the crowd of counter-protesters of the "Unite the Right" rally in Charlottesville to demonstrate against the state's decision to remove the statue of Confederate Gen. Robert E. Lee.
Mr Trump said: "We condemn this egregious display of bigotry and violence on many side, on many sides". You are not wanted in this commonwealth.
Earlier in the day, President Trump posted to his personal account, "We ALL must be united & condemn all that hate stands for". In response, a man from OH plowed down anti-white-supremacist protesters with his auto.
"He ran this campaign on white supremacy and xenophobic nationalism so of course these people will be running through the streets hitting protesters over the head with bats and ramming cars into them because they have been emboldened by this president". "These were white supremacists and this was domestic terrorism". "Please all-go home to your families".
Sen. Marco Rubio, R-Fla., a one-time Trump rival, appeared to rally to the president's aid, tweeting that it was "very important for the nation to hear @potus describe events in #Charlottesville for what they are, a terror attack by #whitesupremacists".
The nationalists were holding the rally to protest plans by the city of Charlottesville to remove a statue of Confederate Gen. Robert E. Lee. One person was killed and at least two dozen were hurt. "There is no place for this kind of violence in America", Trump wrote.
7 white helmets rescuers shot dead in gun attack
They have since gained widespread global renown for their daring rescues, with footage often taken and circulated on social media. White Helmet volunteers are trained in Turkey to provide emergency medical assistance to civilians caught in Syria's civil war.
Robin Haase reaches the semi-finals at the Rogers Cup
That's why I have a lot of respect for this match today. "A bit surprising, to be quite honest, because I hadn't practiced much". Haase will face the victor between second-seeded Roger Federer and Roberto Bautista Agut in the semifinals on Saturday.
US, France pledged to work to denuclearize North Korea
North Korea responded by saying it was considering a plan to attack Guam and dismissed Trump's warnings as a "load of nonsense". They may continue launching missile tests but they don't want a war, and the US doesn't want military action either.