  We classify equivariant topological complex vector bundles over real
projective plane under a compact Lie group (not necessarily effective) action.
It is shown that nonequivariant Chern classes and isotropy representations at
(at most) three points are sufficient to classify equivariant vector bundles
over real projective plane except one case. To do it, we relate the problem to
classification on two-sphere through the covering map because equivariant
vector bundles over two-sphere have been already classified.
