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We measure the Hubble constant of the Universe using spatialcross-correlation between gravitational wave (GW) sources withoutelectromagnetic counterparts from the third GW Transient Catalog (GWTC-3), andthe photometric galaxy surveys 2MPZ and WISE-SuperCOSMOS. Using the eightwell-localised GW events, we obtain Hubble constant $H_0= 68.2_{-6.2}^{+26.0}$km/s/Mpc (median and 68.3$\%$ equal-tailed interval (ETI)) after marginalizingover the matter density and the GW bias parameters. Though the constraints areweak due to a limited number of GW sources and poor sky localization, they arenot subject to assumptions regarding the GW mass distribution. By combiningthis measurement with the Hubble constant measurement from binary neutron starGW170817, we find a value of Hubble constant $H_0= 67.0_{-3.8}^{+6.3}$ km/s/Mpc(median and 68.3$\%$ ETI).

Cross-correlating dark sirens and galaxies: measurement of $H_0$ from GWTC-3 of LIGO-Virgo-KAGRA