| Award | Season | |
|---|---|---|
| Golden Globe Award for Best Television Series - Drama (1987) | - | shortlisted |
| Golden Globe Award for Best Television Series - Drama (1988) | - | shortlisted |
| Primetime Emmy Award for Outstanding Drama Series (1988) | Season 1 | shortlisted |
| Primetime Emmy Award for Outstanding Drama Series (1989) | Season 2 | shortlisted |