| Award | Nominee | Season | |
|---|---|---|---|
| Critics' Choice Television Award for Best Drama Series (2016) | - | shortlisted | |
| Golden Globe Award for Best Actress – Television Series Drama (2016) | Evan Rachel Wood | - | shortlisted |
| Golden Globe Award for Best Television Series - Drama (2016) | - | shortlisted | |
| Primetime Emmy Award for Outstanding Drama Series (2017) | Season 1 | shortlisted | |
| Primetime Emmy Award for Outstanding Lead Actor in a Drama Series (2017) | Anthony Hopkins | - | shortlisted |
| Primetime Emmy Award for Outstanding Lead Actress in a Drama Series (2017) | Evan Rachel Wood | - | shortlisted |
| Primetime Emmy Award for Outstanding Drama Series (2018) | Season 2 | shortlisted | |
| Primetime Emmy Award for Outstanding Lead Actor in a Drama Series (2018) | Jeffrey Wright | - | shortlisted |
| Primetime Emmy Award for Outstanding Lead Actor in a Drama Series (2018) | Ed Harris | - | shortlisted |
| Primetime Emmy Award for Outstanding Lead Actress in a Drama Series (2018) | Evan Rachel Wood | - | shortlisted |