A Schottky type GaN ultraviolet photodetector with a mesa structure was fabricated by depositing an Al ohmic contact on an $n^+$-GaN layer and a Pt Schottky contact on a GaN layer. The undoped GaN(0.5um)/$n^-$-GaN(0.1 um)/$n^+$-GaN(1.5 um) multi-layer structure was grown on a sapphire substrate using MOCVD. The Schottky contact properties were characterized for different passivation conditions. The leakage current of the fabricated Schottky diode was 2 nA at a reverse voltage of 5V. Plus the photocurrent was 120uA using a hydrargyrum lamp with an optical power of 1mW at a wavelength of 365 nm. The diode exhibited an ultraviolet-visible rejection ratio of $10^2$.