He made his debut for the Kenya national football team on 5 June 2013 in a 2014 FIFA World Cup qualification match against Nigeria.
[4] After moving to Tusker, Murunga had a relatively unsuccessful year with the champions, playing regularly but not managing to a score a single goal throughout the entire 2012 season.
[6] He managed to score 6 goals in 11 league appearances for the club, and was even named man of the match for his performance away to Ulinzi Stars at the Afraha Stadium in Nakuru on 28 April 2013, in which he provided an assist for Mohammed Mwachiponi in the 59th minute.
[10] On 13 January 2016, Murunga joined newly promoted Kakamega Homeboyz ahead of the 2016 season, becoming the club's fourth signing of the window after David Juma (Gor Mahia), Martin Imbalambala (A.F.C.
[11] Murunga made his debut for Kenya on 5 June 2013 in a 2014 FIFA World Cup qualification match against Nigeria, coming on as an 89th-minute substitute for club team-mate David Ochieng.