He pitched 259 innings with the Connecticut Huskies over four years, he won the Whitehouse Award with Andrew Miller while they both pitched in the Cape Cod League in 2005. The next year he went 7-2 with a 2.04 ERA as a senior for UConn in 2006 and was drafted in the 7th round of the 2006 amateur draft by the New York Yankees. Norton suffered a shoulder injury in 2007 and was moved to the bullpen after missing all of the 2008 season, but suffered another shoulder injury in 2009. He again came back from his injury, pitching well in Trenton. When reliever Joba Chamberlain was injured in June 2011 Norton was about to be called up when unfortunately, he suffered another shoulder injury. He attempted to come back a third time but was unable to regain his previous velocity and retired as a player in 2012.
After telling the Yankees he was retiring as a player in spring of 2012 the team asked Norton to become a coach. He made his coaching debut in 2013 with the Yankees Gulf coast rookie league team and would move through the system as pitching coach. He enters the 2019 season in his second year as pitching coach for the Double-A Trenton Thunder.
- Amore, Dom (May 21, 2012). "Ex-UConn Pitcher Tim Norton Finished As Player, But Still A Yankee". Hartford Courant. Retrieved February 12, 2019.
- Amore, Dom (August 5, 2018). "Norton moves up as a Coach". Hartford Courant. Retrieved February 12, 2019.