In　this　paper,　density　functional　theory　is　applied　to　study　the　electrochemical　reduction　of　oxygen　on　iron　phthalocyanine　(FePc),　iron　porphyrin　(FeP),　cobalt　phthalocyanine　(CoPc),　and　cobalt　porphyrin　(CoP).　According　to　the　calculation　results,　for　the　four　metal　macrocyclic　complexes,　O-2　will　not　directly　be　cleaved　without　the　cooperation　of　hydrogen.　In　the　reduction　process,　on　FePc　or　FeP,　H2O2　does　not　form　as　an　intermediate,　and　O-2　is　reduced　to　H2O,　while　on　CoPc　or　CoP,　O-2　is　just　reduced　to　H2O2.　The　reason　why　the　oxygen　reduction　ability　of　FePc　or　FeP　is　higher　than　that　of　CoPc　or　CoP,　respectively,　is　that　the　energy　level　of　the　highest-occupied　3d　orbital　of　the　former　is　higher　than　that　of　the　later.　The　high　energy　level　of　the　metal　3d　orbital　leads　to　the　strong　ability　of　oxygen　reduction.