Sen. Lindsey Graham Lindsey Olin GrahamMomentum growing among Republicans for Supreme Court vote before Election Day Video of Lindsey Graham arguing against nominating a Supreme Court justice in an election year goes viral Warning signs flash for Lindsey Graham in South Carolina MORE (R-S.C.) said President Trump should "fix" his remarks about white supremacists and last week's violence in Charlottesville, Va., in a response to the president's Twitter attack on him earlier Thursday morning.

Graham said Trump is receiving praise "from some of the most racist and hate-filled individuals and groups in our country" after his remarks stating that both sides were to blame for the violence at a white nationalist rally.

White supremacist leaders David Duke and Richard Spencer both lauded Trump's remarks.

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"For the sake of our Nation — as our President — please fix this. History is watching us all," he concluded.

Graham's statement comes after Trump issued a bitter attack on Graham via Twitter, in response to Graham's previous statement on Wednesday saying the president had drawn a "moral equivalency" between white supremacists who attended the weekend rally and groups who protested them.

Publicity seeking Lindsey Graham falsely stated that I said there is moral equivalency between the KKK, neo-Nazis & white supremacists...... — Donald J. Trump (@realDonaldTrump) August 17, 2017

...and people like Ms. Heyer. Such a disgusting lie. He just can't forget his election trouncing.The people of South Carolina will remember! — Donald J. Trump (@realDonaldTrump) August 17, 2017

Heather Heyer is a 32-year-old woman who was killed when a man photographed attending the white supremacist events allegedly drove his car into a crowd of counterprotesters. Her memorial service was held on Wednesday.

Graham on Thursday said he only aims "to move our nation, my state, and our party forward — toward the light — not back to the darkness," and went on to praise the president for his "nice and appropriate tweet" on Wednesday honoring Heyer.