Heather Heyer, 32, was killed when a man drove a vehicle into a group of left-wing protesters, injuring 19 others.
Ward, an osteopathic physician and former Arizona state senator, is challenging Flake in Arizona's 2018 Republican primary after having failed to unseat McCain in the previous primary cycle.
Senator Marco Rubio, defeated a year ago by Trump for the Republican presidential nomination, said, "Mr. President, you can't allow #WhiteSupremacists to share only part of blame".
In a post Sunday, Carson said it was "sad watching the political pundits arguing about whether President Trump went far enough in condemning the instigators of the violence in Charlottesville".
The Senate's top Republican is condemning what he's calling the "messages of hate and bigotry" carried by the KKK and white supremacist groups. "He's toxic!" the president said. World leaders also criticized Trump's response. "I think the president attempted to communicate those same feelings yesterday in his own way".
"Sad to see the history and culture of our great country being ripped apart with the removal of our lovely statues and monuments", Trump tweeted.
House Minority Leader Nancy Pelosi released a statement following Trump's remarks that criticized Trump for emboldening bigotry and discrimination. "Your words are dividing Americans, not healing them", he said in a statement.
"What happened in Charlottesville this weekend is completely disgusting, and I've got zero tolerance for white supremacists and for any group or ideology that champions discrimination, racism and violence", said Rep. Garret Graves, R-Baton Rouge. Great and good American presidents seek to unite, not divide.
Announced with much fanfare earlier this year, they were meant to help Trump with his campaign pledges to create jobs across the country.
"The President has been clear on this tragedy and so have I", Pence said during an appearance alongside Chile's president.
Cities and states in the United States are considering taking down Confederate monuments following the clashes at Saturday's rally in Charlottesville, Virginia, which left one woman dead.