He began his NBL career in 2011 with the Townsville Crocodiles before joining the Illawarra Hawks in 2016 following the collapse of his hometown team.

He has also played for the Townsville Heat in the Queensland Basketball League and the Southland Sharks in the New Zealand NBL.

[6] Norton made his debut in the National Basketball League (NBL) for the Townsville Crocodiles during the 2011–12 season.

[12] As a result of the demise of the Townsville Crocodiles following the 2015–16 season, Norton signed a two-year deal with the Illawarra Hawks in April 2016.

[13][14] He helped the Hawks reach the 2017 NBL Grand Final series, where they lost 3–0 to the Perth Wildcats.

[20][21] Following the retirement of Damian Martin, Norton moved into the starting point guard position for the Wildcats in 2020–21, resulting in a career-best year.

[22] Norton was inspirational during the NBL finals as the Wildcats finished runners-up, refusing to allow a hip injury to stop him from playing despite being in obvious pain.

In the Wildcats' play-in qualifier, he played a crucial defensive role off the bench in a win over the South East Melbourne Phoenix.

[47][48] In July 2012, Norton helped Australia earn the silver medal at the Stanković Cup in China.

[49][50] In June 2013, Norton was named in the Australian squad for the Stanković Cup[51] and World University Games.

[60] While playing for the Townsville Crocodiles, Norton was studying a business degree at James Cook University.