  We study the quark sector of the universal seesaw model with SU(2)$_L$
$\times$ SU(2)$_R$ $\times$ $U(1)$.The model incorporates the seesaw mechanism
with the vector-like quarks (VLQs). The purpose of this work is to study the
model with the effective theory. After integrating the heavy five VLQs, we
derive the effective theory with four up-type quark and three down type quark.
In this work, the FCNC of Z boson for top quark and top$^\prime$ quark is
derived.
