Recently, the CMS and ATLAS collaborations have reported direct searches for the 125 GeV Higgs decay with lepton flavor violation, h → μτ. In this work, we analyze the signal of the lepton flavour violating (LFV) Higgs decay h → μτ in the μ from ν Supersymmetric Standard Model (μνSSM) with slepton flavor mixing. Simultaneously, we consider the constraints from the LFV decay τ → μγ, the muon anomalous magnetic dipole moment and the lightest Higgs mass around 125 GeV.