  The neutrino-electron scattering process is a powerful tool to explore new
physics beyond the standard model. Recently the possibility of DUNE Near
Detector (ND) to constrain various new physics scenarios using this process
have been highlighted in the literature. In this work, we consider the most
general U(1) model and probe the constraints on the mass and coupling strength
of the additional $Z'$ from $\nu-e$ scattering at DUNE ND. The presence of the
$Z^\prime$ gives rise to extra interference effects. In the context of the
general U(1) model, the destructive interference can occur in either neutrino
or anti-neutrino channel or for both or none. This opens up the possibilities
of getting four different type of signal in the neutrino and ant-neutrino runs
of DUNE. We perform the analysis using both the total rate and binned events
spectrum. Our results show that in a bin by bin analysis the effect of
destructive interference is less compared to the analysis using total rate. We
present the bounds on the $ m_{Z^\prime} - g_X$ plane from $\nu-e$ scattering
measurements at DUNE ND and compare these with those obtained from other
$\nu-e$ scattering, COHERENT, and beam dump experiments. We show that the DUNE
ND can give the best bound for certain mass ranges of $Z^\prime$.
