| Year | Award | Recipient(s) | Category | Result | Ref. |
| 2016 | MTV Europe Music Award | Herself | Best Push Act | Nominated | |
| MTV Brand New | MTV Brand New | Won | |
| MOBO Awards | Best Newcomer | Nominated | |
| A&R Awards | Breaking Artist | Nominated | |
| 2017 | Electronic Dance Music Awards | "Alarm" (Marshmello Remix) | Best Trap Remix | Nominated | |
| Best Use of Vocal | Won |
| O2 Silver Clef Awards | Herself | Best Newcomer Award | Won | |
| Brit Awards | Critics' Choice | Nominated | |
| British Breakthrough Act | Nominated |
| "Rockabye" (with Clean Bandit) | British Single of the Year | Nominated |
| British Video of the Year | Eliminated |
| Teen Choice Awards | Choice Music: Dance/Electronic Song | Nominated | |
| LOS40 Music Awards | International Song of the Year | Nominated | |
| Gaygalan | International Song of the Year | Nominated | |
| MTV Europe Music Award | Best Song | Nominated | |
| Artists for Grenfell | Power of Music Award | Won | |
| ARIA Music Awards | Catch 22 (Illy featuring Anne-Marie) | Song of the Year | Nominated | |
| 2018 | APRA Music Awards | Urban Work of the Year | Won | |
| Billboard Music Award | "Rockabye" (with Clean Bandit) | Top Dance/Electronic Song | Nominated | |
| iHeartRadio Music Awards | Dance Song of the Year | Nominated | |
| Electronic Dance Music Awards | "Rockabye" (with Clean Bandit & Sean Paul) (Lodato & Joseph Duveen Remix) | Best Remix Collaboration | Nominated | |
| WDM Radio Awards | "Rockabye" (with Clean Bandit) | Best Global Track | Won | |
| Herself | Best Electronic Vocalist | Nominated |
| Teen Choice Awards | "Friends" (with Marshmello) | Choice Music: Dance/Electronic Song | Nominated | |
| iHeartRadio Much Music Video Awards | Song of the Summer | Nominated | |
| Best Collaboration | Nominated |
| MTV Video Music Awards Japan | Best New: International | Won | |
| Video of The Year | Won |
| Melon Music Awards | Best Pop Award | Nominated | |
| LOS40 Music Awards | Herself | International New Artist of the Year | Nominated | |
| MTV Europe Music Award | Best New Act | Nominated | |
| Best UK & Ireland Act | Nominated |
| Brit Awards | "Ciao Adios" | British Video of the Year | Eliminated | |
| 2019 | Brit Awards | Herself | British Female Solo Artist | Nominated | |
| "Speak Your Mind" | British Album of the Year | Nominated |
| "2002" | British Single of the Year | Nominated |
| British Video of the Year | Nominated |
| Global Awards | Best Song | Nominated | |
| Herself | Best Female | Nominated |
| Best British Artist or Group | Nominated |
| Best Pop | Won |
| iHeartRadio Music Awards | "Rewrite the Stars" | Best Cover Song | Nominated | |
| "Friends" (with Marshmello) | Dance Song of the Year | Nominated |
| Electronic Dance Music Awards | "Friends" (with Marshmello) (Kokiri remix) | Remix of the Year – Production | Nominated | |
| "Friends" (with Marshmello) (M-22 remix) | Nominated |
| Remarkable Women Awards 2019 | Herself | Artist of the Year | Won | |
| 2019 V Live Awards V Heartbeat | Favourite Artist Worldwide | Won | |
| BMI London Awards | "Friends" (with Marshmello) | Pop Award Songs | Won | |
| Circle Chart Music Awards | "2002" | Overseas Song of the Year | Won | |