  We give a more complete calculation of $b \to s\gamma $ decay, including
leading log QCD corrections from $m_{top}$ to $M_W$ in addition to corrections
from $M_{W}$ to $m_b$. We have included the full set of dimension-6 operators
and corrected numerical mistakes of anomalous dimensions in a previous
paper\cite{Cho}. Comparing with the calculations without QCD running from
$m_{top}$ to $M_W$\cite{Mis}, the inclusive decay rate is found to be enhanced.
At $m_t=150$GeV, it results in 12\% enhancement, and for $m_t=250$GeV, 15\% is
found. The total QCD effect makes an enhanced factor of 4.2 at $m_t=150$GeV,
and 3.2 for $m_t=250$GeV.
