A statue of General Robert E. Lee was among those taken down from the Austin campus on August 21.
Monuments to Confederate figures are symbols of “modern white supremacy and neo-Nazism”, the college said.
Heather Heyer’s death at a far-right rally in Charlottesville has reignited debate over America’s racial legacy.
University of Texas at Austin President Greg Fenves said on August 20: “Last week, the horrific displays of hatred at the University of Virginia and in Charlottesville shocked and saddened the nation.
“These events make it clear, now more than ever, that Confederate monuments have become symbols of modern white supremacy and neo-Nazism.”
As well Gen Robert E. Lee, who was military commander during the 1861-1865 American Civil War, a statue of another rebel general, Albert Sidney Johnston, and of Confederate postmaster John H. Reagan were taken down.
They were moved to a centre for American history on campus.
A statue of Texas Governor James Stephen Hogg, who served from 1891 to 1895, was also removed and will be considered for re-installation at another site.
“The University of Texas at Austin has a duty to preserve and study history,” Greg Fenves continued.
“But our duty also compels us to acknowledge that those parts of our history that run counter to the university’s core values, the values of our state and the enduring values of our nation do not belong on pedestals in the heart of the Forty Acres.”
The university removed a statue of Confederate President Jefferson Davis from its campus in 2015 following a mass shooting at a church in Charleston, South Carolina.
Greg Fenves added that he spoke with members of faculty, students and alumni following the deadly demonstrations in Virginia.
Dozens of schools and local governments have begun removing statues dedicated to the Confederacy, which was a pro-slavery rebellion against the federal government.
It follows violent clashes at a march on August 12 in Charlottesville, Virginia, where white supremacists and neo-Nazis protested against the removal of a monument of General Lee.
Last week, four Confederate-era statues were taken down in Baltimore, Maryland, while the governors of Virginia and North Carolina have ordered the removal of similar monuments in their states.
Recent removals of Confederate statues has sparked backlash among an outspoken group of Americans who view the statues as symbols of US history and southern culture.
President Donald Trump weighed in on the debate on August 17, tweeting that controversial monuments are “beautiful”, adding that they would be “greatly missed” from US cities.
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