  We derive big-bang nucleosynthesis (BBN) constraints on both unstable and
stable gravitino taking account of recent progresses in theoretical study of
the BBN processes as well as observations of primordial light-element
abundances. In the case of unstable gravitino, we set the upper limit on the
reheating temperature assuming that the primordial gravitinos are mainly
produced by the scattering processes of thermal particles. For stable
gravitino, we consider Bino, stau and sneutrino as the next-to-the-lightest
supersymmetric particle and obtain constraints on their properties. Compared
with the previous works, we improved the following points: (i) we use the most
recent observational data, (ii) for gravitino production, we include
contribution of the longitudinal component, and (iii) for the case with
unstable long-lived stau, we estimate the bound-state effect of stau accurately
by solving the Boltzmann equation.
