In 2003, he competed at the Kitakyushu Champions Cup in Japan, where his team took first place. In 2004, he was part of the squad that came in first place at the Roosevelt Cup. In 2006, he was named as part of the World All-Star 5 for the 2006 Gold Cup tournament. He was part of the 2007 squad that competed at the Paralympic World Cup. In 2008, he was part of the team that took silver at the Beijing Paralympic test event. In 2009, he was part of the Australian squad that won a gold medal at the IWBF Asia-Oceania Championship. In the final game of the tournament, in a game versus Japan, he had 7 rebounds, 19 points and 2 assists. That year, he also won a gold medal as part of the team that competed at the Paralympic World Cup in Manchester, England. In 2009, he was part of the national side that competed at the Rollers World Challenge. He was a member of the Australia men's national wheelchair basketball team that competed at the 2010 Wheelchair Basketball World Championship that won a gold medal. He and fellow Australian team mate Justin Eveson were recognised for their performance at the tournament by being named as one of the World All-Star Five for the tournament. He was a member of the Rollers team that won the gold medal at the 2014 Wheelchair Basketball World Championships. In 2016, he was selected for the 2016 Summer Paralympics in Rio de Janeiro. In 2018, he was a member of the Rollers that won the bronze medal at 2018 Wheelchair Basketball World Championship in Hamburg, Germany.
Club basketball
Norris plays his club basketball for the Perth Wheelcats. In 2002, he played club basketball for the Perth Wheelcats of Australia's National Wheelchair Basketball League. That year, the team won the league championship, and he was named the Most Valuable Player for the Finals series. In 2007, he was still part of the Wheelcats team, and the again won the league championships. That year, he was named the league's MVP and was named as part of the league's All-Star Five. That same year, the Wheelcats won the World Club Championships. In 2009, he was again on the roster for the Perth Wheelcats. His performances helped the team win some games, including a round two victory of the Adelaide Thunder. In 2010, he was playing club basketball with CD Fundosa Grupo., he plays his club basketball for the Perth Wheelcats. In the first game of the 2011 season against the Wollongong Roller Hawks, he had 16 assists. His Perth Wheelcats lost to the Wollongong Roller Hawks in the 2011 NWBL Championship. He scored 23 points in the semi-final, and 28 points in the preliminary finals. In the finals, he had 15 points, 9 assists and 9 rebounds.