  In this work, we propose a cosmological model-independent and non-local
method to constrain the Hubble Constant $H_0$. Inspired by the quasi
cosmological model-independent and $H_0$-free properties of the `shifted'
Hubble diagram of HII galaxies (HIIGx) defined by Wei et al. (2016), we joint
analyze it with the parametric type Ia supernova (SN Ia) Hubble diagram (e.g.
the joint-lightcurves-analysis sample, JLA) and get a Bayesian Inference of
Hubble constant, $H_0 = 71 \pm 20\ \mathrm{km\ s^{-1}\ Mpc^{-1}}$. Although
with large uncertainty, we find that $H_0$ is only strongly degenerate with the
B-band absolute magnitude ($M_B$) of SN Ia but almost independent on other
nuisance parameters. Therefore the accuracy can be simultaneously improved by a
tight constraint of $M_B$ through a cosmological and $H_0$ independent way.
This method can be extended further to get more-literally non-local results of
$H_0$ by using other Hubble diagrams at higher redshifts.
