The purpose of this study is to characterize the photo-catalytic efficiency of $TiO_2$ nanotube with respect to the distribution of anatase phase which can be changed by the annealing temperature of $TiO_2$ nanotube. $TiO_2$ nanotube was fabricated by the anodization method in the 0.5 wt% HF electrolyte. And then the $TiO_2$ nanotube was annealed at temperatures ranging from $380^{circ}C$ to $780^{circ}C$ in dry oxygen ambient for 2 h. For the photo-catalytic water-splitting tests, the photocurrent density was measured as a function of applied potential with a potentiostat using a Ag/AgCl reference, Pt counter electrode, and 1 M KOH electrolyte under illumination of UV by a Xe arc lamp of 1 KW. According to the UV photo-catalytic water-splitting tests, the nanotube annealed at $560^{circ}C$ was found to show the highest photocurrent density.