We study the simplest Two-Higgs-Doublet Model that allows for CP nonconservation, where it can be parametrized by only  one parameter in the Higgs potential. Different concepts of  maximal CP-nonconservation in the gauge-Higgs and the quark-Higgs (Yukawa) sectors are compared. Maximal CP nonconservation in the gauge-Higgs sector does normally not lead to maximal CP nonconservation in the Yukawa sector, and vice versa.

PACS numbers: 11.30.Er, 13.85.Fb, 14.80.Cp, 14.65.Ha