  In the Minimal Supersymmetric Standard Model (MSSM) we incorporate the
Higgs-boson propagator corrections, evaluated up to two-loop order, into the
prediction of $\Gamma$(h -> ff) and BR(h -> ff) for f = b, c, $\tau$. The
propagator corrections consist of the full one-loop contribution, including the
effects of non-vanishing external momentum, and corrections of O(alpha alpha_s)
at the two-loop level. The results are supplemented with the dominant one-loop
QED corrections and final state QCD corrections from both gluons and gluinos.
The effects of the two-loop propagator corrections and of the one-loop gluino
contributions are investigated in detail. Our results are compared with the
result obtained within the renormalization group approach. Agreement within 10%
is found for most parts of the MSSM parameter space.
