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Observations recently suggest $4.4\sigma$ discrepancy between Hubble constantmeasured locally and that inferred from cosmic microwave background in standardcosmology. Either standard cosmology or local measurement might expectsomething new. We investigate the possibility that the value of Hubbleconstants might be affected by observers' motional status in the localmeasurement. Using adapted coordinate for geodesic observers in FLRW space-timeand constraints inferred from observation of cosmic shear, we find that themotional status of reference frame could contribute to about $1.1 \pm 0.3\%$discrepancy of these Hubble constants. Namely, the difference is $\Delta H_0=0.81\pm0.22$ km s$^{-1}$ Mpc$^{-1}$, if the locally measured Hubble constant is$ 74$ km s$^{-1}$ Mpc$^{-1}$. This effect seems not negligible as anuncertainty for local measurement of Hubble constant

Reference frame dependence of the local measurement of the Hubble constant