We study the mixing angle θ Oψ and mixing amplitude f Oψ of J/ψ and vector glueball O, in the framework of potential models of heavy quarks and constituent gluons. While the state vectors of J/ψ and O are constructed from the wave functions of few-body Schroedinger equations, the mixing dynamics is governed by perturbative QCD. We obtain a value of the mixing angle of | tan θ Oψ | ≈ 0.015 and the mixing amplitude of |f Oψ (m 2 Oψ )| ≈ 0.008 GeV 2 , which is compatible with phenomenological analysis.