  We present a simple model in which CP symmetry is spontaneously broken only
after the radiative corrections are taken into account. The model includes two
Higgs-boson doublets and two right-handed singlet neutrinos which induce the
necessary non-hermitian interaction. To evade the Georgi-Pais theorem, some
fine-tuning of coupling constants is necessary. However, we show that such
fine-tuning is natural in the technical sense as it is protected by symmetry.
Some phenomenological consequences are also discussed.
