Chester Cortez Thompson (born December 11, 1948 in Baltimore, Maryland) is an American drummer and session musician.
Thompson made his name as a session drummer, going on to play in Frank Zappa's touring band (as part of the 1973-1974 lineups which also featured percussionist Ruth Underwood and jazz keyboardist George Duke) and with Weather Report. He played on such noted Zappa albums as One Size Fits All and Roxy & Elsewhere.
His longest standing gig was with Genesis. His relationship with the band began with the departure of frontman Peter Gabriel. Then drummer, Phil Collins, assumed Gabriel's role in live shows but remained behind the drum kit in the studio. Thompson became the touring drummer in 1977, playing on their tours in that year and in 1978, 1980, 1981, 1982, 1983/4, 1986/7, 1992 and the 2007 reunion Turn It On Again Tour. Chester is featured on their live albums Seconds Out, Three Sides Live and The Way We Walk Volume 1, Volume 2 and Live Over Europe 2007. He chose not to be involved in the band's Calling All Stations tour, following the band's failure to invite him to join the studio band following Phil Collins's departure.