The present invention is to provide a hydrogen oxidation catalyst that does not contain platinum. Disclosed is a hydrogen oxidation catalyst that is a dinuclear transition metal complex having a chemical structure represented by the following general formula (1) or (2):
wherein, in the general formulae (1) and (2), M
1
and M
2
are each independently Fe or Ru; Ar
1
and Ar
2
are each independently a cyclopentadienyl group or a pentamethylcyclopentadienyl group; Ar
3
and Ar
4
are each independently a divalent aromatic hydrocarbon group having 6 to 12 carbon atoms; and Ar
5
is a monovalent aromatic hydrocarbon group having 6 to 12 carbon atoms, and in the general formula (2), R
1
and R
2
are each independently a hydrogen atom or a monovalent aliphatic hydrocarbon group having 1 to 3 carbon atoms.