The 6-foot-4, 325-pound Brown was picked in the third round with the 72nd pick by the St. Louis Rams on Friday night.
"He is a wide body," ESPN analyst Todd McShay said. "He's a human-being mover off the line of scrimmage."
Brown was a three-year starter at either left or right tackle at Louisville and was named to an all-conference team on two occasions.
As a junior and senior, Brown started 26 games at left tackle. He was named first team All-AAC as a junior and second-team All-ACC as a senior. He made one start as a freshman and started 13 games at right tackle as a sophomore.
Brown is rated by Scout.com as the 21st-best offensive tackle prospect in the draft.
The former U of L standout was injured at the NFL Scouting Combine but had a productive pro day last month. According to NFL.com, he ran the 40-yard dash in 5.09 seconds, the short shuttle in 4.7 seconds and the three-cone drill in 7.36 seconds and recorded a vertical leap of 28 inches and a broad jump of 8 feet, 7 inches.
Brown was an All-State performer at Fern Creek High School.
He's the second U of L player picked in the draft. Wide receiver DeVante Parker was the No. 14 pick by the Miami Dolphins.