A Kiama Knights junior, Brett was selected to play international rugby league for Australia in the 2009 Four Nations tournament, a reward for good form throughout the 2009 NRL season. He crossed six times to finish the tournament as top try-scorer. He is contracted with the Dragons until the end of 2012. said after his re-signing: "I enjoy living in Wollongong, it is where my family and friends are and the Dragons are the team I grew up supporting so I'm very happy to be staying."
Brett Morris (right) with father Steve (centre) with brother Josh (left)
For the 2012 NRL season, Morris has been shifted from his usual position on the wing back to fullback for the Dragons by new coach Steve Price.
Morris played for Australia on the wing and scored a try in the 2013 ANZAC Test victory against New Zealand. During the first State of Origin in the 2014 series, Morris dislocated his shoulder, and continued playing on. He later found out he also suffered a broken bone and ligament damage.