We investigate the contribution of the minimal supersymmetric extension of
the standard model Higgs bosons produced in the neutralino annihilation in
the Earth and Sun to the total weakly interacting massive particles detecti
on signal. We find that this contribution is important and results in a low
er bound for the muon flux from the Sun of 10(-7)-10(-8) m(-2) yr(-1) for n
eutralinos heavier than about 200 GeV. We notice that due to the SUSY charg
ed Higgs bosons one can expect an energetic tau neutrino flux from the Sun
at a level of 10(2) m(-2) yr(-1).