I will discuss a four dimensional description of Composite Higgs Models which represents a complete framework for the physics of the Higgs as a pseudo-Nambu-Goldstone boson. I will focus on the minimal scenario with a single multiplet of resonances of the composite sector, as these will be the only degrees of freedom which might be accessible at the LHC. This turns out to be sufficient to compute the effective potential and derive phenomenological consequences of the theory. The impact of non-minimal terms in the effective lagrangian which do not descend from a 5D theory and could be of phenomenological relevance will be also considered.