After an introduction to the Higgs sector of supersymmetric extensions of the
Standard Model, recent results on radiative corrections to Higgs boson masses
and couplings are reviewed. The phenomenology of supersymmetric Higgs searches
at large hadron colliders and at a possible linear \epem collider is also
described. (Invited talk at the Workshop `Ten years of SUSY confronting
experiment', CERN, 7--9 September 1992, to appear in the Proceedings)Comment: 15 A4 pages, 6 figures not included, CERN-TH.6792/9