  We present a detailed study of the decays of the neutral Higgs bosons $H^0$
and $A^0$ within the Minimal Supersymmetric Standard Model. We find that the
supersymmetric modes ${\tilde{t}}\bar{\tilde{t}}$ and
${\tilde{b}}\bar{\tilde{b}}$ can dominate the $H^0$ and $A^0$ decays in a wide
range of the model parameters due to large Yukawa couplings and mixings of
${\tilde{t}}$ and ${\tilde{b}}$. Compared to the conventional modes $t\bar{t}$
and $b\bar{b}$, these modes have very distinctive signatures. This could have a
decisive impact on the neutral Higgs boson searches at future colliders.
