  We study the imprints of anisotropic inflation on the CMB temperature
fluctuations and polarizations. The statistical anisotropy stems not only from
the direction dependence of curvature and tensor perturbations, but also from
the cross correlation between curvature and tensor perturbations, and the
linear polarization of tensor perturbations. We show that off-diagonal $TB$ and
$EB$ spectrum as well as on- and off-diagonal $TT, EE, BB, TE$ spectrum are
induced from anisotropic inflation. We emphasize that the off-diagonal spectrum
induced by the cross correlation could be a characteristic signature of
anisotropic inflation.
