He was inducted into the Rock and Roll Hall of Fame as a member of Radiohead in March 2019.

[1] Greenwood has also received awards and nominations for his work scoring films by directors including Paul Thomas Anderson, and Lynne Ramsay, Pablo Larraín and Jane Campion.

For Anderson's Phantom Thread (2018), Greenwood was nominated for the Academy Award for Best Original Score.

For his soundtrack for Ramsay's You Were Never Really Here (2017), he received the British Independent Film Award for Best Music.

He was nominated for an Academy Award a second time for his soundtrack to The Power of the Dog (2021).