"After much thought, consideration and family discussion over the past year, Elizabeth and I have decided that I will leave the United States Senate when my term expires at the end of 2018," Corker said in a statement.
Trump's earlier comments on Charlottesville came one day after he met in private with Sen. Tim Scott of South Carolina, the Senate's lone black Republican, at the White House. The two discussed the president's past remarks blaming ``many sides'' for the violence and death around a Confederate statue.
Trump told reporters last week that "both sides" were to blame for the violence between white supremacists and counter protesters in Virginia on Aug. 12, and said there were "very fine people" among those who participated in the white nationalist rally.
The Charlottesville City Council voted to drape two Confederate statues in black fabric during a chaotic meeting packed with irate residents who screamed and cursed at councilors over the city's response to a white nationalist rally.
Speakers, some yelling and hurling profanities, then took turns addressing the council, some expressing frustration that leaders had granted a permit for the Aug. 12 rally that had turned violent. Others criticized the police response to the event, which drew hundreds of white nationalists and other counter-protesters.
Despite multiple confrontations, fights breaking out and objects getting thrown at police, authorities touted the events as mostly peaceful, reporting a total of 33 arrests for disorderly conduct, assaulting a police officer and other offenses.
Organizers of the event, which had been billed as a "Free Speech Rally,'' had publicly distanced themselves from the neo-Nazis, white supremacists and others who fomented violence in Charlottesville on August12.
U.S. Ambassador to the United Nations Nikki Haley, a former governor of South Carolina, said the "horrible acts" seen in Charlottesville "took me back to sad days dealing with the Charleston tragedy in 2015."
What started out as a protest against the removal of a pro-slavery, confederate general statue in Virginia, US, soon turned violent and resulted in aggressive clashes between white nationalists and counter-protesters on Saturday.