| Season | Award | Team | Winner |
|---|---|---|---|
| 2016-17 | Norris James Norris Memorial Trophy |
 NYR
|
Roman Josi |
| 2016-17 | Jennings William M. Jennings Trophy |
NYR
|
Steve Mason |
| 2016-17 | Jack Adams Jack Adams Award |
NYR
|
Mike Yeo |
| 2016-17 | Sam Pollock Sam Pollock Award |
NYR
|
Marc-Olivier Ouellet |
| 2012-13 | Sam Pollock Sam Pollock Award |
NYR
|
Tom Poraszka |
| 2006-07 | Scott Stevens Scott Stevens Trophy |
NYR
|
Denis Gauthier |
| 2005-06 | Scott Stevens Scott Stevens Trophy |
NYR
|
Derian Hatcher |