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We perform QCD fit of the nucleon strange and anti-strange sea distributionsto the neutrino and anti-neutrino dimuon data by the CCFR and NuTeVcollaborations, supplemented by the inclusive charged lepton-nucleon DeepInelastic Scattering (DIS) and Drell-Yan data. The effective semi-leptoniccharmed-hadron branching ratio is constrained from the inclusive charmed hadronmeasurements performed by the FNAL-E531 and CHORUS neutrino emulsionexperiments as $B_\mu=(8.8\pm0.5)%$. We obtain a strange sea suppression factor{$\kappa(20 {\rm GeV}^2)=0.62\pm0.04({\rm exp.})\pm0.03({\rm QCD})$}. An$x$-distribution of total strange sea obtained in the fit is slightly softerthan the non-strange sea, and an asymmetry between strange and anti-strangequark distributions is consistent with zero (integrated over $x$ it is equal to{$0.0013\pm 0.0009({\rm exp.}) \pm 0.0002({\rm QCD})$ at the scale of $20 {\rmGeV^2}$}).

Strange and Anti-strange Sea Distributions from Neutrino-Nucleon Deep Inelastic Scattering