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- Paul Hanmer, composer, pianist, and jazz musician
- Havoc Vultures, rock band
- Headfirst
- The Helicopters
- Henry Ate
- Hog Hoggidy Hog
- Steve Hofmeyr (1964–), singer and actor
- Die Heuwels Fantasties
Herman Holtzhausen (1950) singer,songwriter and guitarist
- Hank Brink (1960s) arranger, wind player, jazz musician
Read more about this topic: List Of South African Musicians