  We study $c \bar c$ color-octet contribution to $B\to \psi (\psi') X$. When
this contribution is included, the theoretical predictions for the branching
ratios become in much better agreement with the experiment. This mechanism also
enhances the partial rate asymmetries by about a factor of five. The inclusive
$\psi(\psi')$ resulting from $b\to d+{}$gluon can have asymmetry around a few
percent whereas those from $b\to s+{}$gluon has it around $4\times 10^{-4}$.
The asymmetry in the former modes should be observable, to a significance of
$3\sigma$, with about $(1-10)\times 10^8B$ mesons.
