  We studied the nonleptonic $B_{c}$ ${\to}$ $BP$, $BV$ decay with the QCD
factorization approach. It is found that the Cabibbo favored processes of
$B_{c}$ ${\to}$ $B_{s}{\pi}$, $B_{s}{\rho}$, $B_{u}\bar{K}$ are the promising
decay channels with branching ratio larger than 1\%, which should be observed
earlier by the LHCb Collaboration.
