  We have investigated the attractor structure for the CMB fluctuations in
composite inflation scenario within the gauged Nambu-Jona-Lasinio (NJL) model.
Such composite inflation represents an attractor which can not be found in a
fundamental scalar model. As is known, the number of inflationary models
contains the attractor classified by the $\alpha$-attractor model. It is found
that the attractor inflation in the gauged NJL model corresponds to the $\alpha
= 2$ case.
