Peter Mumford has received several nominations for his outstanding work in lighting design. He was nominated for Outstanding Lighting Design at the Outer Critics Circle Awards for King Kong. He also received nominations for Best Lighting Design of a Musical and Best Lighting Design of a Play at the Tony Awards for King Kong and The Ferryman, respectively. Additionally, he was nominated for Outstanding Lighting Design at the Drama Desk Awards for King Lear and Vincent in Brixton. Mumford's work on Ghosts earned him nominations for Best Lighting Design and Best Design at the Olivier Awards and the Evening Standard Awards, respectively. He was also nominated for Best Lighting Designer at the Olivier Awards for Hamlet, Collected Stories, and Richard II. Furthermore, he received a nomination for Outstanding Achievement in Dance at the Olivier Awards for The Royal Ballet's Fearful Symmetries.