To establish the deposition condition of YBCO thin film on MgO single crystal substrates, processing parameters of deposition temperature, chemical composition and oxygen partial pressure were controlled. When using a Ba-deficient composition of YB $a_{1.8}$ $Cu_3$$O_{x}$, non-superconducting phase like CuO, $CuYO_2$ were formed, but BaCu02 was formed together with Yl23 phase when the starting composition was Ba-rich ($YBa_{2.3}$ $Cu_3$ $O_{x}$). The epitaxially grown Yl23 phase was formed at 760-$810^{circ}C$ and $P_{O2}$=0.29-0.91 Torr.r.r.r.