  We calculate the next-to-leading order(NLO) quantum chromodynamics(QCD)
corrections to the inclusive process of $Z_0 \rightarrow B^*_c+\bar{c}+b$ under
the non-relativistic QCD(NRQCD) factorization scheme. Technical details about
contributions from vector and axial-vector currents in dimensional
regularization scheme are discussed. Numerical calculation shows that the NLO
correction enhances the leading-order decay width by about 50%, and the
dependence on renormalization scale $\mu$ is reduced. The uncertainties induced
by quark masses and the renormalization scale $\mu$ are also analyzed.
