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 .