The resignations came as criticism mounted over Trump's slow response to the weekend demonstration which ended in bloodshed when a suspected Nazi sympathizer plowed his car into a crowd of anti-racism protesters, killing one and wounding 19.
Trump initially blamed "many sides" for Saturday's violence, sparking a welter of criticism and prompting Merck CEO Kenneth Frazier, a prominent African-American businessman, to quit the presidential advisory panel.
"America's leaders must honor our fundamental values by clearly rejecting expressions of hatred, bigotry and group supremacy, which run counter to the American ideal that all men are created equal," Frazier wrote on Twitter on Monday.
Trump didn't wait long to respond.
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In a later post, Trump accused Merck of being "a leader in higher & higher drug prices while at the same time taking jobs out of the US Bring jobs back & LOWER PRICES."
Several hours later, Under Armour founder and chief executive Kevin Plank also announced he would step down from the panel.
"I love our country and our company and will continue to focus my efforts on inspiring every person that they can do anything through the power of sport, which promotes unity, diversity and inclusion."
Earlier this year, Plank had publicly expressed support for Trump in comments which sparked a backlash.
Intel chief Brian Krzanich also announced his departure from the panel in a blunt statement which said he wanted to "call attention to the serious harm our divided political climate is causing to critical issues."
"I resigned because I want to make progress, while many in Washington seem more concerned with attacking anyone who disagrees with them.
"We should honor -- not attack -- those who have stood up for equality and other cherished American values. I hope this will change, and I remain willing to serve when it does."
Shortly after Frazier's resignation, Trump made a statement calling out specific hate groups.
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