The $Lambda$CDM model successfully explains the majority of cosmological observations. However, the $ Lambda$CDM model is challenged by Hubble tension, a remarkable difference of Hubble constant $H_0$ between measurements from local probe and the prediction from Planck cosmic microwave background observations under $ Lambda$CDM model. So one urgently needs new distance indicators to test the Hubble tension. Fast radio bursts (FRBs) are millisecond-duration pulses occurring at cosmological distances, which are attractive cosmological probes. However, there is a thorny problem that the dispersion measures (DMs) contributed by host galaxy and the inhomogeneities of intergalactic medium cannot be exactly determined from observations. Previous works assuming fixed values for them bring uncontrolled systematic error in analysis. A reasonable approach is to handle them as probability distributions extracted from cosmological simulations. Here we report a measurement of ${H_0} = 64.67^{+5.62}_{-4.66} {rm km s^{-1} Mpc^{-1}}$ using fourteen localized FRBs, with an uncertainty of 8.7% at 68.3 per cent confidence. Thanks to the high event rate of FRBs and localization capability of radio telescopes (i.e., Australian Square Kilometre Array Pathfinder and Very Large Array), future observations of a reasonably sized sample ($sim$100 localized FRBs) will provide a new way of measuring $ H_0$ with a high precision ($sim$2.6%) to test the Hubble tension.
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