  The near-threshold photo-productions of heavy quarkonia are important ways to
test the QCD-inspired models and to constrain the gluon distribution of nucleon
in the large x region. Investigating the various models, we choose a
photon-gluon fusion model and a pomeron exchange model for J/$\Psi$
photo-production near threshold, emphasising on the explanation of the recent
experimental measurement by GlueX at JLab. We find that these two models are
not only valid in a wide range of the center-of-mass energy of $\gamma$ and
proton, but also can be generalized to describe the $\Upsilon$(1S)
photo-production. Using these two models, we predict the electro-production
cross-sections of $\Upsilon$(1S) at EicC to be 48 fb to 85 fb at the
center-of-mass energy of 16.75 GeV.
