The Co and Ni catalysts supported on $Al_2O_3$ for partial oxidation of methane producing hydrogen were synthesized using impregnation to incipient wetness. And the promotion effects of metals such as Mg, Ce, La and Sr in partial oxidation of methane over these $Co/Al_2O_3$ and $Ni/Al_2O_3$ were investigated. Reaction activity of these catalysts for the partial oxidation of methane was investigated in the temperature range of 450~$650^{circ}C$ at 1 atm and $CH_2/O_2$ = 2.0. The catalysts were characterized by BET, XRD and SEM/EDX. The results indicated that the catalytic performance of these catalysts was improved with the addition of 0.2 wt% metal promoter. The Mg promoted $Co/Al_2O_3$ catalyst showed the highest $CH_4$ conversion and hydrogen selectivity at higher temperature than $500^{circ}C$. The Ce and Sr promoted Ni catalysts superior to Co-based catalysts in the low temperature range. The addition of metal promoter to $Co/Al_2O_3$ and $Ni/Al_2O_3$ catalysts increased the surface area.