Munster began his career at the youth level with Cliftonville in 2001. He traveled to Kitchener, Ontario in order to conduct a six-week sport and school exchange to coach. While conducting lessons he severely torn his knee ligament. As a result, his club released him from his contract effectively sidelining his career. He returned to Canada in 2004 in order to assist Eddie Edgar with his coaching academy. Edgar secured him a trial with London City of the Canadian Professional Soccer League. After a successful trial he played with club's reserve squad, where he scored 12 goals in 3 matches to promote him to the first team. He made his debut on 18 June 2004 against Metro Lions, where he scored in his debut in a 2–1 defeat. What followed was a stellar season where he became an instant success by finishing as the league's top goalscorer with 25 goals in 19 appearances. The league recognized his contributions with the CPSL Rookie of the Year award. After an impressive debut season in the CPSL he was signed by Slavia Prague of the Czech First League. He became the first Irishman to play in the league when he made his debut on 21 November 2004 against FK Chmel Blšany. After one season with Slavia Prague where he appeared in 3 league matches and voted fans player of the month. In 2006, he went to Scandinavia to sign with Örebro SK of the Superettan. Midway through the season he was transferred to Bunkeflo IF in the Division 1, where he assisted in promoting the club to the Superettan. He returned to the Czech Republic to play with SK Hradec Kralove in the Czech National Football League. He finished as the club's top goalscorer with 10 goals. In 2008, he returned home to sign with Linfield in the NIFL Premiership. In his first season with Linfield the lethal striker scored an impressive 17 goals in 20 starts. Throughout his tenure with Linfield he won the league title and Irish Cup in 2009/10 and 2010/11, and was the club's top goalscorer in the 2009/2010 season. In January 2011 Linfield rejected an offer from Hellas Verona of the Lega Pro. The offer was turned down by the Belfast club, even though Munster was leaving in the summer as a free agent. After his contract expired he signed with FC Anker Wismar in the NOFV-Oberliga Nord.
Coaching career
In 2012, he retired from competitive football in order to manage Assyriska BK in the Swedish Football Division 2. The following season he was appointed manager of Örebro Syrianska IF in the Division 1. In 2014, he was given managerial responsibilities at BK Forward, and was appointed head coach of the Örebro SK under-19 team. On February 24, 2019, he was named the head coach for the Vanuatu national football team. Eight months after he was offered a contract to manage Bhayangkara F.C. in the Indonesian Liga 1.
