Brown won a gold medal as a member of Team Canada at the 1988 World Junior Ice Hockey Championships.

In parts of two seasons, Brown had 73 points in 86 games for the Whalers before being traded on January 24, 1992 to the Chicago Blackhawks in exchange for Steve Konroyd.

During the next few years, Brown would sign contracts with the Dallas Stars and Los Angeles Kings, but mostly played in the IHL.

Brown led the IHL in scoring for three years and was awarded the James Gatschene Memorial Trophy for league MVP in 1993-94.

His scoring production at the IHL level did not go unnoticed and on October 1, 1997 Brown returned to the Pittsburgh Penguins, signing a contract as a free agent.