The longitudinal polarization ofΛ produced in the current fragmentation region of polarized lepton DIS off polarized and unpolarized target is described both in the simple formalism with factorized fragmentation functions as well as within intrinsic strangeness model using string fragmentation implemented into event generator LEPTO. It is demonstrated that the the measurement ofΛ polarization and its dependence on the target polarization can serve as a filter for (un)polarized anti-strangeness distribution function of nucleon.