  We analyze the rare and flavor changing decay of the top quark into a charm
quark and a gauge boson in the littlest Higgs model with T-parity (LHT). We
calculate the one-loop level contributions from the T-parity odd mirror quarks
and gauge bosons. We find that the decay $t\to c V, (V=g,\gamma,Z)$ in the LHT
model can be significantly enhanced relative to those in the Standard Model.
Our numerical results show that the top quark FCNC decay can be as large as
$Br(t\to cg)\sim 10^{-2}$, $Br(t\to cZ)\sim 10^{-5}$ and $Br(t\to c\gamma)\sim
10^{-7}$ in the favorite parameter space in the LHT model.
