  We study the top-quark pair production via polarized and unpolarized photon
collisions at the International Linear Collider in the context of the littlest
Higgs model with T-parity. We calculate the production cross section of the
process $\gamma\gamma\rightarrow t\bar{t}$ and find the effects can be more
significant in the $- -$ polarized photon collision mode than in other
collision modes, and the relative correction can be expected to reach about -1%
in the favorable parameter space.
