Career
Early career
On 27 June 2010, Murunga joined Gor Mahia from the National Youth Talent Academy based in Nairobi. After spending a year with the former champions, Murunga joined Bandari. He spent 6 months with the Coastal club before joining Tusker on 21 December 2011.
Tusker
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.
He was released by the club on 5 December 2012. Karuturi Sports
On 22 February 2013, Naivasha club Karuturi Sports revealed their new signings for the 2013 season, with Murunga included in the list and given the squad number 28.
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. Return to Tusker
Following his good performances in the league, Murunga rejoined his former club Tusker on 17 June 2013, for a transfer window record fee of Ksh.
100,000.
= Loan to Knight Commander of the Bath On 8 January 2014, Murunga signed a season-long loan deal with Kenya Commercial Bank ahead of the 2014 season.
In his second international game against Malawi, Murunga scored his debut goal to level the score at 1–1 in the 53rd minute, helping his country to a 2–2 away at the Kamuzu Stadium in Blantyre.
