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We study the lepton flavor violating (LFV) ${H}^{+}\ensuremath{\rightarrow}{W}^{+}{l}_{i}^{\ensuremath{-}}{l}_{j}^{+}$ and the lepton flavor conserving (LFC) ${H}^{+}\ensuremath{\rightarrow}{W}^{+}{l}_{i}^{\ensuremath{-}}{l}_{i}^{+}$ ${(l}_{i}=\ensuremath{\tau}{,l}_{j}=\ensuremath{\mu})$ decays in the framework of the general two Higgs doublet model, the so-called model III. We estimate the decay width of LFV (LFC) decay at the order of magnitude of ${10}^{\ensuremath{-}11}--{10}^{\ensuremath{-}5}\mathrm{GeV}$ ${(10}^{\ensuremath{-}9}--{10}^{\ensuremath{-}4}\mathrm{GeV}),$ for $200\mathrm{GeV}<~{m}_{{H}^{\ifmmode\pm\else\textpm\fi{}}}<~400\mathrm{GeV},$ …