We calculate the O(alpha(s)) SUSY-QCD corrections to the widths of top and
bottom squark decays into Higgs bosons within the minimal supersymmetric st
andard model. We give the complete analytical formulas, paying particular a
ttention to the on-shell renormalization of the soft SUSY-breaking paramete
rs. We also perform a detailed numerical analysis of both top and bottom sq
uark decays into all Higgs bosons h(0), H-0, A(0), and H+/- We find that th
e SUSY-QCD corrections are significant, mostly negative, and of the order o
f a few ten percent. [S0556-2821(99)04211-3].