We report the results for nucleon decay searches via modes favored by supersymmetric grand unified models in Super-Kamiokande. Using 1489 days of full Super-Kamiokande-I data, we searched for p→ν̄K+, n→ν̄K0, p→μ+K0, and p→e+K0 modes. We found no evidence for nucleon decay in any of these modes. We set lower limits of partial nucleon lifetime 2.3×1033, 1.3×1032, 1.3×1033, and 1.0×1033years at 90% confidence level for p→ν̄K+, n→ν̄K0, p→μ+K0, and p→e+K0 modes, respectively. These results give a strong constraint on supersymmetric grand unification models. © 2005 The American Physical Society.