We study the occurrence of light mediators on coherent elastic neutrino-nucleus scattering in the framework of a simplified model. The model includes light mediators in accordance with all possible interactions such as scalar, pseudoscalar, vectorial, axial-vector, and tensorial, and commonly used in explaining solar neutrino phenomena. We show the event rate spectrum using flux from reactor and accelerator neutrino experiment for keV, MeV, and GeV mass scale of the new mediators. We then present the $90 \%$ C.L. constraint of the parameter from the considered model from the first COHERENT data.