  We consider a Composite Higgs Model (CHM) with two isospin doublet Higgs
fields arising as pseudo Nambu-Goldstone bosons from a ${\rm SO}(6)\to {\rm
SO}(4)\times {\rm SO}(2)$ breaking. The main focus of this work is to
explicitly compute the properties of these Higgses in terms of the fundamental
parameters of the composite sector such as masses, Yukawa and gauge couplings
of the new spin-1 and spin-1/2 resonances. Concretely, we calculate the Higgs
potential at one-loop level through the Coleman-Weinberg mechanism from the
explicit breaking of the ${\rm SO(6)}$ global symmetry by the partial
compositeness of fermions and gauge bosons. We derive then the phenomenological
properties of the Higgs states and highlight the main signatures of this
Composite 2-Higgs Doublet Model at the Large Hadron Collider, including
modifications to the SM-like Higgs couplings as well as production and decay
channels of heavier Higgs bosons. We also consider flavour bounds that are
typical of CHMs with more than one Higgs doublet.
