Abstract: Fractal theory has been extensively applied to research the stuctural charater of drainage basin, but it seldom combines with entropy studies karst drainage. This paper studies systematically the fractal character and geomorphological significance of entropy in karst dry valley system, fluvial river system and undergound drainage, and compare with non-karst drainage basin. We think that fractal and entropy are important parameters in hydrogeomorphologic system and could be used to analyse structrual charater of karst drainage and evolution of karst hydrogomorphology.