Browne originally signed as a pro with the USFL's the Pittsburgh Maulers after being drafted in the 13th round (284th overall) by the expansion club in the 1984 Draft (January 4, 1984).
Browne signed a contract with the Maulers and started the season on their roster, however, was never activated for game action. He was released after the second week of the season by the Maulers on March 6, 1984 and later that spring signed with the CFL Hamilton Tiger-Cats.
Browne holds the CFL and all-pro records for most interceptions in a career with 87. He also holds the record for most interception return yards with 1,508. Browne ranks third in the CFL for career blocked kicks with eight. Browne played in four Grey Cup games (1985, 1986, 1990, and 1994), winning the latter three. He was a six-time CFL All-Star, and was twice runner-up for the CFL's Most Outstanding Defensive Player Award, in 1986 by the Hamilton Tiger-Cats and in 1994 by the BC Lions.