The characteristics of $(Ba,Sr)TiO_3$[BST] thin films with the variation of $O_2/Ar$ ratio in sputtering gas deposited on $RuO_2$ bottom electrode were investigated. Dielectric constant of BST film increases from 135 to 190 with increasing oxygen partial pressure from 10 to 50, which is mainly due to the improved crystallinity of BST film. The instability of $RuO_2$ surface in $BST/RuO_2$ interface and the increase in the surface roughness of BST thin films with higher $O_2/Ar$ ratio appeared to play an important roles on the degradation of the leakage current characteristics of $Al/BST/RuO_2$ capacitor with various $O_2/Ar$ ratio in sputtering gas. As a consequence, the leakage current of BST thin film showed the lowest value of $1.9{ imes}10^{-7}; A/{ extrm}{cm}^2$ at $O_2/Ar{approx}1/9$.