Several senior Republican figures have voiced criticism of his comments, including Senator Cory Gardner, who said "Mr President - we must call evil by its name". Nineteen other people were injured.
The white nationalist protests gathered in Charlottesville because they were angry that city officials had planned to remove a statue honoring Robert E. Lee, a Confederate general.
"There should be no place in society for racism, white supremacy and neo-nazis", she tweeted.
Trump said on Saturday that there was more than one side to the Charlottesville incidents.
At a news conference on Saturday evening, McAuliffe, a Democrat, told "all the white supremacists and the Nazis" who traveled to Charlottesville to "go home" because "you are not wanted in this great commonwealth".
Virginia State Police say the National Transportation Safety Board and the Federal Aviation Administration are assisting in the investigation into a fatal helicopter crash that claimed the lives of two state troopers.
"I didn't know it was white supremacist", Samantha Bloom told reporters.
Twenty-year-old James Fields from OH, the alleged driver of the vehicle, is in detention on suspicion of second-degree murder.
Right-wing blogger Jason Kessler, who organised the demo in protest over the statue decision, said that he and other people who were going to speak at the event evacuated with security protection when police issued the order to disperse. He is suspected of involvement with one of the white nationalist groups participating in the Unite the Right rally. Counter-protesters massed in opposition.
What eyewitnesses described as rolling fist fights and battles with thrown projectiles broke out nearly immediately after the hundreds of "Alt Right" activists and other white nationalist rallygoers made their way to the statue of Robert E. Lee, whose potential removal was the event's primary ostensible concern.
Many protesters "express beliefs that directly contradict our community's values of diversity, inclusion and mutual respect", Teresa Sullivan, President of the University of Virginia, said in another statement released hours before the rally.
However, former Ku Klux Klan leader David Duke, who was on the scene in Charlottesville, condemned the President's statement, tweeting that "our people were peacefully assembling" but were attacked by "radical leftists".