  The pair productions of leptons and quarks at $e^+e^-$ Higgs factory are an
important probe for new physics via precise measurements. The discovery and
exclusion limits of $Z^\prime$ models at the International Linear Collider with
$\sqrt{s} = 250$, 500 and 1000 GeV are calculated with selection efficiencies
estimated in the existing full simulation studies. It shows a large potential
of BSM searches with precise measurements at future energy-frontier $e^+e^-$
colliders.
