Rhapsomates (or Rapsomates) (Greek: Ῥαψομάτης) was a Byzantine official who led a revolt in the Theme of Cyprus in the early 1090s. Nothing is known about his life prior to the revolt apart from the fact that he served as an official in the region. The motivation behind its outbreak remains a matter of conjecture.
Rhapsomates maintained control of the island for approximately three years. He was defeated by the megas doux John Doukas and was taken captive to Constantinople. His life was probably spared. After the suppression of the rising, emperor Alexios I Komnenos augmented Cyprus' garrison and appointed new officials to rule over it.