Brett Connon began his rugby career at the age of six with Carlisle RFC and went on to join Newcastle Falcons' junior academy at 15, making his first team debut in October 2016 during a European Challenge Cup tie at Ospreys. The Cumbrian-born full-back graduated into the club's senior academy on a full-time contract during summer 2015 and went on to make a string of appearances in the build up to the 2015/16 season in the . A confident and assured presence at full-back, Connon has represented the North of England U16 and Ireland Clubs U18s sides as well as playing for Ireland at both U18 and U20 levels. Currently dual registered with National League 1 side Blaydon RFC, Connon has also played senior rugby for local National League 2 side Tynedale RFC. Connon played for Ireland Under-20s in the final of the 2016 Junior World Championship, going on to make his Falcons first team debut in the European Challenge Cup at Ospreys in October of that year.