  The XENON1T collaboration recently reported the excess of events from recoil
electrons, possibly giving an insight into new area beyond the Standard Model
(SM) of particle physics. We try to explain this excess by considering
effective interactions between the sterile neutrinos and the SM particles. In
this paper, we present an effective model based on one-particle-irreducible
interaction vertices at low energies that are induced from the SM gauge
symmetric four-fermion operators at high energies. The effective interaction
strength is constrained by the SM precision measurements, astrophysical and
cosmological observations. We introduce a novel effective electromagnetic
interaction between sterile neutrinos and SM neutrinos, which can successfully
explain the XENON1T event rate through inelastic scattering of the sterile
neutrino dark matter from Xenon electrons. We find that sterile neutrinos with
masses around $90$ keV and specific effective coupling can fit well with the
XENON1T data where the best fit points preserving DM constraints and possibly
describe the anomalies in other experiments.
