  We calculate the supersymmetric ${\cal O}(\alpha_s)$ QCD corrections to the
width of the decay $H^+ \rightarrow \st\bar{\sb}$ within the Minimal
Supersymmetric Standard Model. We find that the QCD corrections are
significant, but that they do not invalidate our previous conclusionat
tree-level on the dominance of the $\st\bar{\sb}$ mode in a wide parameter
region.
