  The Hubble parameter $H(z)$ is directly related to the expansion of our
Universe. It can be used to study dark energy and constrain cosmology models.
In this paper, we propose that $H(z)$ can be measured using fast radio bursts
(FRBs) with redshift measurements. We use dispersion measures contributed by
the intergalactic medium, which is related to $H(z)$, to measure Hubble
parameter. We find that 500 mocked FRBs with dispersion measures and redshift
information can accurately measure Hubble parameters using Monte Carlo
simulation. The maximum deviation of $H(z)$ from standard $\Lambda$CDM model is
about 6\% at redshift $z= 2.4$. We also test our method using Monte Carlo
simulation. Kolmogorov-Smirnov (K-S) test is used to check the simulation. The
$p$-value of K-S test is 0.23, which confirms internal consistency of the
simulation. In future, more localizations of FRBs make it as an attractive
cosmological probe.
