It is pointed out that lepton asymmetry can be generated through CP-preserving inflaton decay into Higgs boson when the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix has a proper CP phase.
The leptons produced during thermalization process undergo flavor oscillations where CP violation takes place. The $llHH$ terms relevant to the active neutrino masses give lepton number violations.
Our scenario can be tested from the ground-based neutrino experiment.