We present complete one-loop radiative corrections to the decay rate of a top quark into a charged Higgs boson and a bottom quark, and for the decay of a charged Higgs bosom into leptons. The results are discussed in the framework of the two-Higgs-boson extension of the standard model suggested by supersymmetry. The effect of electroweak corrections after exclusion of universal corrections Dr is found to decrease the partial width of the top quark typically by 5%.