  We propose a new type of axion inflation with complex structure moduli in the
framework of type IIB superstring theory compactified on Calabi-Yau manifold.
The inflaton is identified as the axion for the complex structure moduli whose
potential is originating from instantonic corrections appearing through the
period vector of mirror Calabi-Yau manifold. The axionic shift symmetry is
broken down to the discrete one by the inclusion of instantonic correction and
certain three-from fluxes. Our proposed inflation scenario is compatible with
K\"ahler moduli stabilization. We also study a typical reheating temperature in
the case of complex structure moduli inflation.
