Charlottesville police said in a statement on Facebook that they and Virginia State Police were at the scene of the incident in the city's downtown.
Virginia Secretary of Public Safety Brian Moran told the Associated Press that the driver of the vehicle, a man, was in custody.
A silver sedan drove down the street while protesters were marching peacefully in a long line, although it was not immediately clear whether the driver was acting deliberately (it was).
The crash happened Saturday afternoon during violent clashes between white supremacists and counter-protesters at what was scheduled to be a rally for white nationalists.
A 32-year-old woman who was crossing the street was killed and 19 people were injured, the Associated Press confirmed with hospital officials.
Demonstrators are still staging rallies around the city, and reports say a auto crashed into a group of protesters.
Mayor Mike Signor announced the death on his Twitter account and urged people to "go home". He did not provide details.
An anti-fascist group called "Antifa" marched to counter the white nationalist rally in Charlottesville. His 45-second cellphone video captured the gray Dodge Challenger with OH plates racing toward the crowd - hitting it, then reversing away with a damaged windshield and front end. The vehicle then rapidly drives away in reverse as several people lay on the ground injured.
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Khan, who has carried out 24 previous government-sanctioned hunting missions, said he was baffled by the elephant's behaviour. The sharpshooter was last roped in by authorities in western Maharastra state, where he tranquilised a killer tiger.
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ET (1434 GMT), the Toronto Stock Exchange's S&P/TSX composite index fell 70.95 points, or 0.47 percent, to 15,146.38. Crude oil prices tumbled on the back of the selloff on Wall Street and lingering concerns over global oversupply.
Is This the Alleged Charlottesville Killer?
The city has become ground zero for white nationalist and other protesters, who faced larger counter-rallies in the past. Demonstrators are still staging rallies around the city, and reports say a auto crashed into a group of protesters.