Tshibamba played for NEC's youth team before making his senior debut for the club in a 2007–08 Eredivisie playoff-match against FC Groningen. For the 2009–10 season, he was sent on loan at the affiliate club FC Oss. On 1 December 2009, Tshibamba was sent back to NEC, after it had come clear that he had been struggling with disciplinary problems.
On 5 January 2010, Tshibamba was given a free transfer by NEC, and about a month later he signed with Arka Gdynia of the Polish Ekstraklasa. Tshibamba started his Polish adventure well by scoring two times in the first four matches. He helped Arka to win that season against both Cracovia and Wisła Kraków.
On 16 January 2011, he scored his first goal with the Greek side, in a 2–1 home victory against Iraklis. On 15 June, after a good season with Larissa, he signed a 4-year contract. Although he had shown signs of disciplinary misconduct, the fans attributed that to him needing time to adapt to his new city. He scored his first goal in the 2011–12 campaign in an impressive away 3–0 win against Veria F.C. On 18 December 2011, Tshibamba scored a hat-trick against Anagennisi Epanomi in a 5–2 win. He scored two more goals against Anagennisi Giannitswn. On 23 February 2012, he was given on loan to Krylia Sovetov till the end of the season. On September 2012 Tshibamba returned to AEL 1964 FC. In December 2012, he took permission for absence over Christmas but refused to return. He later claimed that he took this decision due to financial issues about his contract.
On 15 July 2015 Tshibamba returned and signed a two-year deal with the Greek Football League side AE Larissa FC. Despite that, he never made an official appearance with the club and solve his contract on 24 August 2015.
After a short trial Tshibamba signed a contract with Botev Plovdiv on 11 September 2015. On 18 January 2016 Tshibamba was released from Botev Plovdiv after playing in seven games without scoring any goals.
Koper
In June 2016 he signed for FC Koper in Slovenia. He received a red card in his first official match against Rudar Velenje on 30 July 2016 after just two minutes of playing, and his contract was terminated after the match.
Tshibamba signed for S.League side Warriors FC in March 2017, filling the club's final foreign signing slot. He signed for the club after the club scouted him using the online footballing database application, InStat, and invited him to Singapore. Tshibamba signed after being convinced that the club would be challenging for silverwares, something that Tshibamba has not been able to achieve with his past eleven clubs. He made his debut for the Warriors in a 1–1 draw against Geylang International in match day 2 of the S.League season. Tshibamba almost scored on his debut as his header came off the post in the 35th minute. He got his first goals for the club on 8 April 2017 in a 4–3 win over Garena Young Lions, scoring a brace to help his club claw back from 1–3 down in the last 10 minutes. He was released at the mid-season transfer window due to poor performances.
On 16 November 2018, Tshibamba joined Belgian club VW Hamme. After less than two months, he left the club.
Nocerina
On 29 July 2019 it was announced, that Tshibamba had joined Italian Serie D club A.S.D. Nocerina 1910. In September 2019, during a away game against AC Nardò, Tshibamba became the target of racist chants by supporters of the home club. Nardò received an official warning and a fine of 1000 euros from the Italian Football Federation. After having played 4 games, the club announced on 18 October 2019, that the players contract had been terminated for disciplinary reasons.
