In this paper it is shown that recently detected superluminal neutrino motion can be explained by the absence of gravitational mass of neutrino, and as a result, an absence of its interaction with a gravitational field. The results theoretically predicted in this paper are in full agreement with the experimental data obtained by OPERA collaboration. The conducted calculations also predict significant anisotropy of the neutrino velocity measurement depending on the direction of the Earth's motion relative to the Galaxy, which allows validation of the obtained results.