Two Virginia state troopers were also killed when the helicopter they were using to provide aid to the situation crashed in the woods near the gathering. "There is no place for you in America".
Three people died in the violence that led to McAuliffe issuing a state of emergency earlier Saturday and canceling a rally over the removal of Confederate Gen. Robert E. Lee's statue from Emancipation Park in downtown Charlottesville.
"We condemn in the strongest possible terms this egregiousdisplay of hatred, bigotry and violence on many sides".
McAuliffe told the "white supremacists" and "Nazis" who attended the rally to "go home". The driver, identified as James Alex Fields, Jr., is being charged with second degree murder and multiple other felony counts.
"There should be no place in society for racism, white supremacy and neo-nazis", Trump wrote in a two-part tweet Sunday morning.
The police have arrested a man they believe drove the auto, which killed a 32-year-old woman and injured 19 others, Guardian reported.
Addressing reporters, Trump refused to name white supremacists or any specific group, blaming the violence "on many sides".
Officials said one person was killed and at least 26 others were injured and treated at local hospitals.
The rally's objective was to condemn a decision by the city to remove a statue of Confederate Gen. Robert E. Lee. "We don't need that right now in this country", Walsh said of what happened in Virginia.
Republican Senator Marco Rubio called on Donald Trump to label the violence as a "terror attack".