Brown was a prolific scorer at the junior level, averaging over two points per game during his junior career. In particular, Brown flourished in 1986-87 winning multiple awards including Most Valuable Player (West), Top Scorer (West), and the inaugural WHL Plus-Minus Award. Brown also set the current Western Hockey League records for both assists and points with 136 and 212 respectively. He was also named CHL Player of the Year for the 1986-87 season. Brown won a gold medal as a member of Team Canada at the 1988 World Junior Ice Hockey Championships.