We report the synthesis and electrochemical characterization studies of a bifunctional catalyst suitable for lithium air battery application. MnO₂ and RuO₂ are supported on two different carbon supports such as graphite nanofiber(GNF) and graphene oxide(GO) to employ oxygen cathode catalyst of lithium-air batteries. MnO₂/GNF is first prepared by a simple hydrothermal synthesis and is then decorated with RuO₂ using a redox reaction technique. The highest electrocatalytic performance is observed from a weight ratio of RuO₂:MnO₂/GNF=5:5 with good cyclability and high specific capacity. Perovskite Ba_0.5Sr_0.5Co_0.8Fe_0.2O₃(BSCF) decorated with palladium shows good ORR and OER activity when tested in aqueous medium (ORR onset potential : -0.072 V vs Hg/HgO, OER onset potential : 0.700 V vs Hg/HgO).