| Award | Season | |
|---|---|---|
| Golden Globe Award for Best Television Series - Drama (2017) | - | winner |
| Primetime Emmy Award for Outstanding Drama Series (2017) | Season 1 | winner |
| Primetime Emmy Award for Outstanding Drama Series (2018) | Season 2 | shortlisted |
| Primetime Emmy Award for Outstanding Drama Series (2020) | Season 3 | shortlisted |
| Primetime Emmy Award for Outstanding Drama Series (2021) | Season 4 | shortlisted |
| Critics' Choice Television Award for Best Drama Series (2018) | - | winner |
| BAFTA Award for Best International Programme (2018) | - | winner |
| BAFTA Award for Best International Programme (2019) | - | shortlisted |