6H-SiC UV photodiodes with $p^+$/n/n mesa structure were fabricated. The photocurrents of the photodiodes were measured in the wavelength range of 200~600 nm. The photocurrents were sensitive to ultraviolet radiation of 200~500 nm, and come to the maximum value at 260 nm. The quantum efficiency was calculated by using the diffusion model of minority carriers, and compared with the distribution of the photocurrent measured as a function of wavelength each other. The photocurrents of the 6H-SiC photodiode were explained by the diffusion model of the minority carriers which contained the optical absorption of the depletion region as well as the other layers.