He made his lead acting debut in Dope (2015), and is best known for voicing Miles Morales / Spider-Man in the animated film Spider-Man: Into the Spider-Verse (2018) and its sequel Across the Spider-Verse (2023), and for portraying Wu-Tang Clan member Raekwon in the Hulu series Wu-Tang: An American Saga.

[2] Moore started off with bit roles in shows and films such as Tyler Perry's House of Payne, Reed Between the Lines, and Joyful Noise.

In 2013, he had his first main television role on the sketch-comedy series Incredible Crew, which aired on Cartoon Network before being canceled after one season.

IndieWire included Moore on its list of "The 12 Major Breakouts of the 2015 Sundance Film Festival" for his performance in the movie.

Harrier publicly denounced this, as she was engaged, and revealed that Moore did not delete the video after she had asked him to do so in private.