Operating as striker, Sserukuma played for
Police Jinja. He enjoyed success at
Kampala City Council FC before a transfer to
Ethiopian Premier League club
Saint-George SA in July 2007. In summer 2008, he left the club Addis Ababa and moved to
Bloemfontein Celtic. In July 2009, he left
Bloemfontein Celtic and completed a move to
Vasco Da Gama, after falling out with Celtic manager
Owen da Gama.
Bidvest Wits On 6 April 2010, Sserunkuma signed for
Bidvest Wits agreeing a two-year deal with the club.
Vasco Da Gama However, he returned to
Vasco Da Gama the following season, playing in the second-tier following the club's relegation from the top flight.
Lweza Football Club In 2015, Sserunkuma joined
Lweza FC. Sserunkuma played for a season at the Lweza F.C and scored eight goals in that season.
Kampala City Council In July 2016, Sserunkuma joined
Kampala City Council FC from Lweza Football Club; this was the second stint for Sserunkuma at the Lugogo based club following his first era during 2004 and 2006 seasons. Sserunkuma opened his goal account with a debut strike against JMC Hippos on Friday 22 August 2016 as the
Kampala City Council FC edged their visitors 2-1 at Phillip Omondi Stadium, Lugogo. While in 2016/2017 season, Sserunkuma was the first player to hit double figures that season, His goal in the third minute against BUL FC was his 10th goal of the season. He last featured for
Kampala City Council when it was playing against Paidha Black Angels FC in
Uganda Cup 2017 finals in Arua where he scored his last goal. Sserunkuma scored 31 goals in all competitions for KCCA FC last season and helped the team win their first ever domestic double.
Buildcon F.C In July 2017, Sserunkuma joined
Buildcon F.C. On 12 August,
Sserunkuma scored his first goal for
Buildcon F.C against
Lusaka Dynamos in a league match played at Levy Mwanawasa Stadium.
NAPSA Stars He played for
NAPSA Stars F.C. FC for a season.
Wakiso Giants FC On 7 August 2019, Sserunkuma joined
Wakiso Giants FC. ==International career==