| Award | Season | |
|---|---|---|
| Golden Globe Award for Best Television Series - Drama (1998) | - | winner |
| Golden Globe Award for Best Television Series - Drama (1999) | - | shortlisted |
| Golden Globe Award for Best Television Series - Drama (2000) | - | shortlisted |
| Primetime Emmy Award for Outstanding Drama Series (1998) | Season 2 | winner |
| Primetime Emmy Award for Outstanding Drama Series (1999) | Season 3 | winner |
| Primetime Emmy Award for Outstanding Drama Series (2000) | Season 4 | shortlisted |
| Primetime Emmy Award for Outstanding Drama Series (2001) | Season 5 | shortlisted |