A 1962 graduate of Lincoln High School, Aaron Brown starred collegiately at the University of Minnesota, where he was a two-time All-Big Ten selection and, as a senior, was a consensus All-American selection.
 
Brown was a 1966 first-round draft pick of the Kansas City Chiefs, and started at right defensive end for the Chiefs from 1968-72. Brown participated in the first AFL-NFL World Championship game with the team in 1969 (later known as the Super Bowl). 

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Due to his speed of 4.7 in the 40-yard dash, Hank Stram, coach of the Chiefs, decided to try Brown at running back, but this proved unsuccessful.

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In the 1969 AFL Championship, Brown registered 2.5 sacks in the Chiefs' 17-7 victory over the Raiders. In Super Bowl IV, he had another sack and tackled Minnesota quarterback Joe Kapp, forcing him to leave the game in the 4th quarter.

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He died on November 15, 1997, in Atascocita (near Houston, Texas), when he was struck from behind by a motorist after walking home one day before his 54th birthday.