We investigate coherent-elastic neutrino-nucleus scattering ($CE u NS$) in 3-3-1 models for different values of $beta$ in which $beta$ is a parameter used to define the charge operator of the 331 models. We show that the number of events predicted by 331$beta$ model is in agreement with the data given by COHERENT experiment. We evaluate the sensitivity of the mass of Z boson with 90% confidence level (CL) and find that $m_{Z}geq 1.4 $TeV for $beta=-sqrt{3}$ with 90% CL. We perform $chi^2$ fit for liquid Argon, Germanium and NaI detector subsystems, we obtain $m_{Z} geq [2,3.1 ]$ TeV with 90% CL. Our results indicate low-energy high-intensity measurements can provide a valuable probe, complementary to high energy collider searches at LHC and electroweak precision measurements.
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