We study the phenomenology of the e−μ lepton flavor violation (LFV) in a general two Higgs Doublet Model (2HDM) including the supersymmetric case. We compute the decay rate expressions of μ→eγ, μ→eee, and μ→e conversion in nuclei at two loop level. In particular, it is shown that μ→eγ is generally the most sensitive channel to probe Higgs-mediated LFV. The correlations among the decay rates of the above processes are also discussed.