  We establish a cosmological-model-independent method to determine the Hubble
constant $H_0$ from the localized fast radio bursts (FRBs) and the Hubble
parameter measurements from cosmic chronometers and obtain a first such
determination $H_0=71\pm 3~\mathrm{km/s/Mpc}$, with an uncertainty of 4\%, from
the eighteen localized FRBs and nineteen Hubble parameter measurements in the
redshift range $0<z\leq0.66$. This value, which is independent of the
cosmological model, is consistent with the results from the nearby type Ia
supernovae (SN Ia) data calibrated by Cepheids and the Planck cosmic microwave
background radiation observations at the $1\sigma$ and 2$\sigma$ confidence
level, respectively. Simulations show that the uncertainty of $H_0$ can be
decreased to the level of that from the nearby SN Ia when mock data from 500
localized FRBs with 50 Hubble parameter measurements in the redshift range of
$0<z\leq1$ are used. Since localized FRBs are expected to be detected in large
quantities, our method will be able to give a reliable and more precise
determination of $H_0$ in the very near future, which will help us to figure
out the possible origin of the Hubble constant disagreement.
