After playing his junior hockey with the London Knights, Steve Smith was selected by the Edmonton Oilers in the 1981 NHL Entry Draft. After parts of three seasons in the AHL, Smith became an NHL regular during the 1985-86 season.
Smith joined the Oilers for the majority of the 1985-86 season and stayed in the NHL for good in 1986. Smith who was towering defenseman with the Oilers enjoyed some great times in Edmonton, capturing his first of three Stanley Cups. Known more for his play in his own end, Smith also had an offensive aspect to his game. During the 1987-88 season, Smith tallied 55 points (12-43-55) while amassing 286 penalty minutes and helping the Oilers capture yet another Stanley Cup.
Over the course of the next few seasons, Smith continued his strong play at both ends of the ice, capturing his third Stanley Cup with the team in 1990. Smith went on to play one more season in Edmonton before being acquired by the Chicago Blackhawks prior to the 1991-92 season. The three-time Stanley Cup champion had an immediate impact with Chicago, helping reach the Stanley Cup
In 1992-93, Smith established a career high for points with 57 (10-47-57)and he went on to play four more seasons in the Windy City before injuries limited him to a mere 21 regular season games in 1996-97. After not playing during the 1997-98 season, Smith returned to the NHL in 1998-99 as a member of the Calgary Flames. Smith played three seasons with the Flames, however during his last two seasons Smith was continuously plagued by injury and he was limited to 33 games.
Other than his three Stanley Cups wins with Edmonton, Steve Smith played in the 1991 NHL All-Star Game, and was a member of Team Canada at the 1991 Canada Cup.