  We study the potential of the next $ep$ collider, namely LHeC, with two
options $\sqrt{s}=1.3$ TeV $\sqrt{s}=1.98$ TeV, to search for excited spin-1/2
and spin-3/2 neutrinos. We calculate the single production cross section of
excited spin-1/2 and spin-3/2 neutrinos according to their effective currents
describing their interactions between gauge bosons and SM leptons. We choose
the $\nu^{\star}\rightarrow eW$ decay mode of excited neutrinos and
$W\rightarrow jj$ decay mode of $W$-boson for the analysis. We put some
kinematical cuts for the final state detectable particles and plot the
invariant mass distributions for signal and the corresponding backgrounds. In
order to obtain accessible limits for excited neutrino couplings, we show the
$f-f^{\prime}$ and $c_{iV}-c_{iA}$ contour plots for excited spin-1/2 and
excited spin-3/2 neutrinos, respectively.
