  We discuss the non-thermal leptogenesis in the scheme of 5D orbifold SO(10)
GUT with the smooth hybrid inflation. With an unambiguously determined Dirac
Yukawa couplings and an assumption for the neutrino mixing matrix of the
tri-bimaximal from, we analyze baryon asymmetry of the universe via non-thermal
leptogenesis in two typical cases for the light neutrino mass spectrum, the
normal and inverted hierarchical cases. The resultant baryon asymmetry is
obtained as a function of the lightest mass eigenvalue of the light neutrinos,
and we find that a suitable amount of baryon asymmetry of the universe can be
produced in the normal hierarchical case, while in the inverted hierarchical
case the baryon asymmetry is too small to be consistent with the observation.
