| Award | Season | |
|---|---|---|
| Golden Globe Award for Best Television Series - Drama (1978) | - | shortlisted |
| Golden Globe Award for Best Television Series - Drama (1979) | - | winner |
| Golden Globe Award for Best Television Series - Drama (1980) | - | shortlisted |
| Golden Globe Award for Best Television Series - Drama (1981) | - | shortlisted |
| Primetime Emmy Award for Outstanding Drama Series (1980) | Season 3 | winner |
| Primetime Emmy Award for Outstanding Drama Series (1981) | Season 4 | shortlisted |
| Primetime Emmy Award for Outstanding Drama Series (1982) | Season 5 | shortlisted |