Models with the extended two-doublet Higgs sector are discussed in view of using their particular features to find out which sources of CP violation could take place in nature. We consider the effective two-Higgs-doublet potential with complex parameters, when the CP invariance is broken both explicitly and spontaneously. The diagonalization of mass term in a local minimum of the potential leads to the physical states of Higgs bosons without definite CP parity, keeping explicitly the limiting case of CP invariance. For special case of the two-doublet Higgs sector of the minimal supersymmetric model, when CP invariance is violated by the interactions of Higgs fields with the third generation of scalar quarks, we calculate the Higgs bosons mass spectrum in the case of maximal CP mixing which is significantly different from CP-conserving case. The phenomenological consequences for the Higgs mass spectrum in the decoupling regime and for the "strong mixing" case are considered. Phenomenological scenarios and predictions for the Higgs boson search are described.

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