| Name of Trophy | Number of Trophies |
| First Team All-Star | 5 |
| Second Team All-Star | 3 |
| Hart | 3 |
| Art Ross | 6 |
| Conn Smythe | 2 |
| Calder | 1 |
| Bill Masterton | 1 |
| Stanley Cup | 2 |
1985- Calder Memorial Trophy
1986- Second Team All-Star
1986- Lester B. Pearson Award
1987- Second Team All-Star
1988- First Team All-Star
1988- Art Ross Trophy
1988- Hart Memorial Trophy
1988- Lester B. Pearson Award
1989- First Team All-Star
1989- Art Ross Trophy
1991- Conn Smythe Trophy
1991- Stanley Cup
1992- Second Team All-Star
1992- Art Ross Trophy
1992- Conn Smythe Trophy
1992- Stanley Cup
1993- First Team All-Star
1993- Art Ross Trophy
1993- Bill Masterton Trophy
1993- Hart Memorial Trophy
1996- First Team All-Star
1996- Art Ross Trophy
1996- Hart Memorial Trophy
1996- Lester B. Pearson Award
1997- First Team All-Star
1997- Art Ross Trophy