A new lefthanded see-saw mechanism is constructed, implying both the smalln
ess of active-neutrino masses and decoupling of heavy passive neutrinos, si
milarly to the situation in the case of conventional see-saw. But now, in p
lace of the conventional righthanded neutrinos, the lefthanded sterile neut
rinos play the role of heavy passive neutrinos, the righthanded neutrinos a
nd righthanded sterile neutrinos being absent. Here, the lefthanded sterile
neutrinos are different from charge conjugates of conventional righthanded
neutrinos because their lepton numbers differ. In this case, the neutrino
mass term is necessarily of pure Majorana type.