  With the potential for the improvements of measurement precision,the
refinement of theoretical calculation on hadronic $B$ weak decays is necessary.
In this paper, we study the contributions of $B$ mesonic distribution amplitude
${\Phi}_{B2}$ within the QCD factorization approach, and find that
${\Phi}_{B2}$ contributes to only the nonfactorizable annihilation amplitudes
for the $B$ ${\to}$ $PP$ decays ($P$ denotes the ground $SU(3)$ pseudoscalar
mesons). Although small, the ${\Phi}_{B2}$ contributions might be helpful for
improving the performance of the QCD factorization approach, especially for the
pure annihilation $B_{d}$ ${\to}$ $K^{+}K^{-}$ and $B_{s}$ ${\to}$
${\pi}^{+}{\pi}^{-}$ decays.
