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We present a search for the lepton-flavor-violating decays $B^{0} \to\tau^\pm \ell^\mp$, where $\ell=(e,\,\mu)$, using the full data sample of $772\times 10^6$ $B \overline{B}$ pairs recorded by the Belle detector at the KEKBasymmetric-energy $e^+e^-$ collider. We use events in which one $B$ meson isfully reconstructed in a hadronic decay mode. The $\tau^\pm$ lepton isreconstructed indirectly using the momentum of the reconstructed $B$ and thatof the $\ell^\mp$ from the signal decay. We find no evidence for $B^{0} \to\tau^\pm \ell^\mp$ decays and set upper limits on their branching fractions at90% confidence level of $\cal B$($B^{0} \to \tau^\pm \mu^{\mp}$)$ < 1.5 \times10^{-5}$ and $\cal B$($B^{0} \to \tau^\pm e^{\mp}$)$ < 1.6 \times 10^{-5}$.

Search for $B^{0} \to \tau^\pm \ell^\mp$ ($\ell=e,\mu$) with a hadronic tagging method at Belle