  The idea of the strongly interacting field theories constitutes one of the
pillars of the standard model of particle physics. The goal of this work is to
export such theories to cosmology. Here we are interested in models in which
the inflaton is a composite object, instead of a fundamental one. In so doing,
we first construct the general setup, in the metric formulation, for generic
models of composite inflation. We subsequently introduce the relevant examples
in which the inflaton is identified with: A) the lightest (composite) scalar
field in the minimal walking technicolor theory, and B) the glueball field of a
pure Yang-Mills theory. We demonstrate that they were both viable to achieve
successful inflation. Surprisingly, we find that the scale of composite
inflation is of the order of the expected grand unification scale, $10^{16}$
GeV.
