We propose a new mechanism of leptogenesis in which the asymmetries in
lepton numbers are produced through the CP-violating oscillations of
''sterile'' (electroweak singlet) neutrinos. The asymmetry is communic
ated from singlet neutrinos to ordinary leptons through their Yukawa c
ouplings. The lepton asymmetry is then reprocessed into baryon asymmet
ry by electroweak sphalerons. We show that the observed value of baryo
n asymmetry can be generated in this way, and the masses of ordinary n
eutrinos induced by the seesaw mechanism are in the astrophysically an
d cosmologically interesting range. Except for singlet neutrinos, no p
hysics beyond the standard model is required.