He was selected to play in the 1992 NHL All-Star Game and still holds many offensive records for the St. Louis Blues.
Brown finished the 1986–87 season with the Nordiques, scoring seven goals and 29 points in 44 games, providing the club with some much needed offense.
On December 13, 1989, the Nordiques traded Brown to the St. Louis Blues for Tony Hrkac and Greg Millen.
In 1990–91, Brown led the Blues defense in scoring, as he had 12 goals and 59 points in 67 games, as he missed nearly a month of the season due to broken left ankle, and was third in overall team scoring, only behind Brett Hull and Adam Oates, as the Blues finished with the second best record in the league, getting 105 points.
On March 21, 1994, the Blues traded Brown, Bret Hedican and Nathan LaFayette to the Vancouver Canucks for Craig Janney.
Brown finished 1993–94 with the Canucks after his late season trade, appearing in 11 games with the team, scoring a goal and six points.
In the lockout shortened 1994–95 season, Brown appeared in 33 games with Vancouver, scoring eight goals and 31 points, finishing fourth in overall team scoring, despite missing 15 games due to a cracked bone in his wrist after being slashed by Kris Draper of the Detroit Red Wings, and a separated shoulder late in the season.
They found a potentially deadly virus related to the flesh-eating bacteria, had entered the infected area of Brown's leg.
The surgery saved Brown's life, and he returned to action for Toronto's February 4, 1998, game against the St. Louis Blues.
His time in Toronto would be short, as the Leafs traded Brown to the Washington Capitals for Sylvain Cote on March 24, 1998.
Brown finished the 1997–98 season with the Capitals, earning six assists in nine games with the club, as Washington reached the playoffs.
After the season, Brown became a free agent but retired from playing after he was unable to find a new team to sign with.
Brown began coaching the St. Louis Bandits of the North American Hockey League (NAHL).
In the playoffs, the Bandits won the Robertson Cup, defeating the Wenatchee Wild in the final game.
Due to lack of attendance, the club became dormant, and in 2013, the franchise was sold to the ownership of the Minnesota Wilderness.
In the post-season, the Ice won the Clark Cup, defeating the Waterloo Black Hawks in five games to claim the championship.
[4] On April 25, 2017, Brown announced his resignation from the 67's as the team's head coach and general manager, for personal reasons.