The O(alpha(s)) QCD corrections to the three-body decay width of the charge
d Higgs boson Gamma(H+--> W+<b over dot (b)over bar>) are discussed in the
MSSM. Our calculations indicate that the standard QCD corrections to the th
ree-body decay mode raise the width by about 12% and the supersymmetric QCD
corrections (due to (g) over tilde, (t) over tilde, (b) over tilde exchang
es) can be comparable to or even larger than the standard QCD corrections i
n some regions of the supersymmetric parameter space. This is mainly due to
the effect of large left-right mixing of the top squark ((t) over tilde).
It could significantly affect the phenomenology of the H+ search.