Pugh began performing in 2014. He won new act competitions in both Birmingham Comedy Festival and Nottingham comedy festival in 2015, the Midland new act of the year in both 2014 and 2015, and the English Comedian of the Year in 2016.He has appeared on Mock the Week, Hypothetical, Rosie Jones's Disability Comedy Extravaganza, Question Team and Mel Giedroyc: Unforgivable. As an actor, he appeared on Sneakerhead. Pugh has written for several shows, including 8 Out of 10 Cats Does Countdown, Never Mind The Buzzcocks, Newsjack, and The Now Show.

He hosts a podcast, Josh And Phil's Knowledge Club, with Phil Pagett. Pugh is partially sighted and has played for England's Partially Sighted football team between 2012 and 2022.