  The next-to-leading order QCD corrections for $\chi_{bJ}$, the p-wave
bottomonium, to $J/\psi$ pair decay processes are evaluated utilizing NRQCD
factorization formalism. The scale dependence of $\chi_{b2}\rightarrow J/\psi
J/\psi$ process is depressed with NLO corrections, and hence the uncertainties
in the leading order results are greatly reduced. The total branch ratios are
found to be the order of $10^{-5}$ for all three $\chi_{bJ}\rightarrow J/\psi
J/\psi$ processes, indicating that they are observable in the LHC and super-B
experiments.
