  A measurement of Z production cross-section in $\gamma e^{-}$ collision at
Large Hadron-electron Collider (LHeC) is presented to compare to that at
International Linear Collider (ILC). The total cross-section depends strongly
on the polarization of the initial and final $e^{-}$ beams, the electron beam
energy $E_{e}$ with the energy of the proton beam taken to be $E_{p} = 7$ TeV.
The result shows that the total cross-section in $\gamma e^{-} \rightarrow Z
e^{-} \rightarrow l^{-}l^{+}e^{-}$ at LHeC is much larger than that at ILC.
