  We consider the Two Higgs Doublet Model (2HDM) of type III which leads to
Flavour Changing Neutral Currents (FCNC) at tree level. In the framework of
this model we calculate the NLO contribution for b->s \gamma and the branchings
for the meson decays B^+ -> l^+ \nu. We examine the limits on the new
parameters \lambda_{bb} and M_{H^\pm}. We take into account the relationship
between \lambda_{tt} and \lambda_{bb} coming from the validness of perturbation
theory.
