We study leptons in holographic composite Higgs models, namely in models possibly admitting a weakly coupled description in terms of five-dimensional (5D) theories. We introduce two scenarios leading to Majorana or Dirac

neutrinos, based on non-abelian discrete symmetries of the form Gf = X × ZN. The flavour symnmetry is broken to Z2 ×Z2 ×ZN in the elementary sector and to Z(D) N in the composite sector, with Z(D) N being the diagonal subgroup of a

ZN ⊂ X and the external ZN. The smallness of neutrino masses is naturally explainedand normal/inverted mass ordering can be accommodated. By choosing X = Δ(96) or Δ(384), a non-vanishing θ13 of order 0.1 is naturally obtained. We apply our considerations to a 5D model in warped space for the particular cases of X = S4,A5,Δ(96) and Δ(384) and N = 3 or 5. Lepton flavour violating processes and electric dipole moments are well below the current bounds, with the exception of μ → eγ that puts a very mild constraint on the parameter space of the model, for all presented choices of Gf ."