Storbæk was born in Trysil and grew up in Ljørdalen, 50 km outside Trysil. After playing for Østre Trysil during his youth, Storbæk first club was the localNybergsund. After playing for Raufoss in the First Division from 2000 to 2003, Storbæk joined the Tippeligaen side HamKam ahead of the 2004 season. Half-way through the 2005 season, Vålerenga was looking for a left back and made a offer for Storbæk. HamKam, who were struggling against relegation, rejected the offer, and their coach, Ståle Solbakken, stated that would be a suitable price for Storbæk. Vålerenga instead signed Tommy Stenersen from Stabæk. The two clubs agreed on a transfer for Storbæk after the season, and he signed a four-year deal with Vålerenga on 14 November 2005. According to the newspaper Østlendingen, the transfer fee for Storbæk was around. Storbæk played a total of 51 matches for HamKam, scoring five goals. The next season, Storbæk scored the equalizing goal on a penalty kick in the 1–1 draw against his old club HamKam. He played for Vålerenga from 2006 to 2009, and played a total of 99 matches and scored nine goals. Storbæk's contract with Vålerenga ended after the 2009-season, and he didn't want to sign a new deal with the club as he wanted to try playing abroad. In February 2010, Storbæk signed a short-term contract with the Greek second tier club Panetolikos till the end of the 2009–10 season. Storbæk then joined the Danish club SønderjyskE in June 2010, as a replacement for Sölvi Ottesen who had transferred to F.C. Copenhagen. Storbæk played 68 matches in the Danish Superliga before he moved back to Norway and joined Strømsgodset in August 2012. Strømsgodset's coach Ronny Deila praised Storbæk as a "long-term signing" and believed that the 33-year-old would help Godset both in the race for the 2012 Tippeligaen-title and in the next few seasons. Storbæk made his debut for Strømsgodset in the 1–1 draw against Sogndal on 2 September 2012. Deila made Storbæk captain in his first match, due to the absence of Alexander Aas and Adam Larsen Kwarasey.
International career
From 2005 to 2008, Storbæk played 17 matches for Norway.
After retiring at the end of 2016, Storbæk became the head coach of the club he just left, Nybergsund IL. The club announced, that they didn't wanted to be a player-coach as he wanted, so he retired at this point. He had already been a player-assistant at the club until he retired. In the 2018 season, Nybergsund was relegated to the 3rd Division and Storbæk got sacked. After the sacking, Storbæk sued the club due to lack of outstanding pay and holiday pay.