  We discuss the conditions under which the flavor structure of SUSY model
induces, either radiatively or through mixing, new flavor-violating
interactions in the Higgs sector. The radiative flavor mediation mechanism is
illustrated using the minimal SUSY extension of the SM (MSSM) with generic
trilinear A-terms, and applied to evaluate the corrections to Lepton
Flavor-Violating (LFV) and Flavor-Conserving (LFC) Higgs vertices. Flavor
mediation through mixing is discussed within the context of an $E_6$-inspired
multi-Higgs model, suplemented with an abelian flavor symmetry. Tevatron and
LHC can probe the flavor structure of these models through the detection of the
LFV Higgs mode h->tau mu, while NLC can perform high-precision tests of the LFC
mode h ->tau+ tau-.
