QCD corrections to the decay $H^+ \to \st \bar{\sb}$ in the Minimal Supersymmetric Standard Model

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.