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We have searched for the lepton-flavor-violating decay B0 → K*0µ±e∓ using a data sample of 711 fb-1 that contains 772 × 106 $B\bar{B}$ pairs. The data were collected near the Υ(4S) resonance with the Belle detector at the KEKB asymmetric-energy e+e- collider. No signals were observed, and we set 90% confidence level upper limits on the branching fractions of B(B0 → K*0µ+e-) < 1.2 × 10-7, B(B0 → K*0µ-e+) < 1.6 × 10-7, and, for both decays combined, B(B0 → K*0µ±e∓) < 1.8 × 10-7. These are the most stringent limits on these decays to date.