  An enhancement near threshold is observed in the \omega \phi invariant mass
spectrum from the doubly OZI suppressed decays of J/\psi \to \gamma \omega
\phi, based on a sample of 5.8 X 10^7 J/\psi events collected with the BESII
detector. A partial wave analysis shows that this enhancement favors J^P = 0^+,
and its mass and width are M = 1812^{+19}_{-26} (stat) +- 18 (syst) MeV/c^2 and
\Gamma = 105+-20 (stat) +- 28$ (syst) MeV/c^2. The product branching fraction
is determined to be B(J/\psi\to \gamma X) B(X\to\omega\phi) = (2.61 +- 0.27
(stat) +- 0.65$ (syst)) X 10^{-4}.
