  This paper is devoted to the study of leading twist light cone wave functions
of J/Psi meson. The moments of these wave functions have been calculated within
three approaches: potential models, nonrelativistic QCD and QCD sum rules.
Using the results obtained within these approaches the models for the light
cone wave functions of leading twist have been proposed. Similarly to the wave
function of eta_c meson the leading twist light cone wave functions of J/Psi
meson have very interesting properties at scales greater than m_c: improvement
of the accuracy of the model, appearance of relativistic tail and violation of
nonrelativistic QCD velocity scaling rules. The last two properties are the
properties of true leading twist light cone wave functions of J/Psi meson.
