Within the Minimal Supersymmetric Standard Model (MSSM), we study the
production of the neutral scalar and pseudoscalar as well as the charg
ed Higgs bosons together with fermions or sfermions in deep inelastic
ep scattering at root s = 1.6 TeV. We focus on the parameter space whe
re a Higgs particle is likely to be invisible at LEP2 and LHC. Althoug
h we choose gaugino/higgsino mixing scenarios that maximize the corres
ponding production rates we find only for the production of the scalar
Higgs bosons in the non-supersymmetric channels non-negligible cross
sections of the order of 10(2) fb.