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The muon g−2 anomaly is a long-standing discrepancy from its standard model prediction. The recent improved measurement of the fine structure constant makes the electron g−2 anomaly very interesting for both sign and magnitude in comparison to the muon g−2 anomaly. In order to explain both muon and electron g−2 anomalies, we introduce flavor violation in the minimal supersymmetric standard model (MSSM) as a low energy theory. The lepton flavor violating process τ→eγ is one of the major constraints to explain both g−2 anomalies simultaneously emerging from flavor violating terms. We show various mass spectra of sleptons, neutralinos, and charginos, consistent with the LHC results, to explain both anomalies after satisfying the flavor violation constraint. Keywords: Anomalous magnetic moment, Supersymmetry, Lepton flavor violation