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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~\mathrm{fb}^{-1}$$\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 upperlimits on the branching fractions ($\mathcal{B}$) at 90$\%$ confidence level.We obtain the most stringent upper limits: $\mathcal{B}(\Upsilon(2S) \to\mu^{\mp}\tau^{\pm}) < 0.26 \times 10^{-6}$ and $\mathcal{B}(\Upsilon(2S) \toe^{\mp}\tau^{\pm}) < 1.02 \times 10^{-6}$.

Search for charged-lepton flavor violation in $\Upsilon(2S) \to \ell^\mp\tau^\pm$ ($\ell=e,\mu$) decays at Belle