  The heavy Higgs bosons $H,A$ of the minimal supersymmetric extension of the
Standard Model can be produced as resonances in high-energy $\gamma\gamma$
colliders. Prospects of the search for these particles in $b\bar b$ and
neutralino-pair final states are studied in this report. Heavy Higgs bosons can
be found with masses up to about 70-80% of the initial $e^+e^-$ collider energy
for moderate values of $\tan\beta$, i.e. in areas of the parameter space not
accessible at other colliders.
