  We study pp and p\bar p collisions which lead to the exclusive production of
J/psi or Upsilon from the pomeron-odderon and the pomeron-photon fusion. We
calculate scattering amplitudes of these processes in the lowest order
approximation and in the framework of k_T factorization. We present estimates
of cross sections for the kinematic conditions of the Tevatron and of the LHC.
