| Season | Award | Team | Winner |
|---|---|---|---|
| 2021-22 | Norris James Norris Memorial Trophy |
 MTL
|
Aaron Ekblad |
| 2021-22 | Prince of Wales Prince of Wales Trophy |
MTL
|
Montreal Canadiens |
| 2021-22 | Larry Robinson Larry Robinson Trophy |
MTL
|
Aaron Ekblad |
| 2019-20 | Sam Pollock Sam Pollock Award |
MTL
|
P.J. Jennings |
| 2017-18 | Sam Pollock Sam Pollock Award |
MTL
|
P.J. Jennings |
| 2005-06 | Masterton Bill Masterton Memorial Trophy |
MTL
|
Tim Taylor |