  We discuss the production at $e^+e^-$ colliders of Higgs bosons in
association with both the scalar leptons and the lightest neutralinos in the
Minimal Supersymmetric extension of the Standard Model. While the rates for
associated Higgs production with neutralinos and first/second generation
sleptons are rather tiny, the cross section for the production of the lightest
Higgs boson $h$ with scalar $\tau$ lepton pairs can reach the femtobarn level
at c.m. energies at and above 500 GeV in favorable regions of the parameter
space, making this process potentially detectable at a high-luminosity $\ee$
collider, in particular in the $\gamma \gamma$ option. This would provide a
determination of the $h \tilde{\tau} \tilde{\tau}$ coupling and opens up the
possibility of measuring the parameter $\tan \beta$.
