  We study CP-Violation (CPV) in a Composite 2-Higgs Doublet Model (C2HDM)
based on the global symmetry breaking $SO(6)/[SO(4)\times SO(2)]$, wherein the
strong sector is modeled by a two-site moose structure. Non-trivial complex
phases in the interactions involving fermions in both the elementary and strong
sectors can induce CPV in the Higgs potential as well as the Yukawa coupling
parameters. We compute both of the latter and analyse their dependence upon the
aforementioned complex phases. Finally, we discuss physics observables which
are distinctive of this model. Even in the simplest case with only one complex
phase in the strong sector we can get significant CPV effects.
