The final results of LEP on the searches for neutral Higgs bosons of the minimal supersymmetric extension of the Standard Model (MSSM) are reviewed. The highlight is put on the results derived in representative scenarios aimed at testing various challenges for the experimental detection, both at LEP and at hadron colliders (kinematics, vanishing branching fractions in key channels, CP violation in the Higgs sector).

PACS numbers: 14.80.Cp, 12.60.Jv