  We study the three-body baryonic decay $ \bar{B}^{0}\rightarrow\Lambda^+_c
\bar{p} \pi^0$ based on the factorization approach. The most important Feynman
diagrams for this decay mode are factorizable and non-factorizable
contributions, so that the former plays the key role in the decay amplitude and
the latter affects the amplitude coefficient $a_2$. We calculate the decay
branching ratio for some values of $a_2$ in the range of $0.16-0.40$ and we
find that the value of $a_2=0.17$ leads us to the result of
$(1.50\pm0.21)\times10^{-4}$ which evidently agrees with the experimental
result $(1.55\pm0.17\pm0.08)\times 10^{-4}$ reported by BABAR
