  We report a search for the charged-lepton flavor violation in $\Upsilon(2S)
\to \ell^\mp\tau^\pm$ ($\ell=e,\mu$) decays using a $25~\fbi$ $\Upsilon(2S)$
sample collected by the Belle detector at the KEKB $e^{+}$$e^-$
asymmetric-energy collider. We find no evidence for a signal and set upper
limits on the branching fractions ($\mathcal{B}$) at 90\% confidence level. We
obtain the most stringent upper limits: $\mathcal{B}(\Ytomutau) < 0.23 \times
10^{-6}$ and $\mathcal{B}(\Ytoetau) < 1.12 \times 10^{-6}$.
