  We investigate the photoproduction of $K^*$ vector meson for the study of the
$\Lambda(1405)$ resonance. The invariant mass distribution of $\pi\Sigma$ shows
a different shape from the nominal one, peaking at 1420 MeV. This is considered
as a consequence of the double pole structure of $\Lambda(1405)$, predicted in
the chiral unitary model. Combined with other reactions, such as $\pi^- p \to
K^0 \pi\Sigma$, experimental confirmation of this fact will reveal a novel
structure of the $\Lambda(1405)$ state.
