  We discuss vacuum stability in Froggatt-Nielsen (FN) models. One concern in
FN models is that for large flavon VEVs the running of the quartic Higgs
coupling is enhanced what might lead to a more severe instability compared to
the Standard Model (SM). We study this issue using the renormalization-group
improved scalar potential. Another issue is that the mixing between the Higgs
and the flavon can potentially destabilize the potential. However, taking
current bounds on the flavon phenomenology into account, we find that both
effects do not lead to an instability that is more severe than in the SM.
