  Hubble tension is one of the most important problems in cosmology. Although
the local measurements on the Hubble constant with Type Ia supernovae (SNe Ia)
are independent of cosmological models, they suffer the problem of zero-point
calibration of the luminosity distance. The observations of gravitational waves
(GWs) with space-based GW detectors can measure the luminosity distance of the
GW source with high precision. By assuming that massive binary black hole
mergers and SNe Ia occur in the same host galaxy, we study the possibility of
re-calibrating the luminosity distances of SNe Ia by GWs. Then we use
low-redshift re-calibrated SNe Ia to determine the local Hubble constant. We
find that we need at least 7 SNe Ia with their luminosity distances
re-calibrated by GWs to reach a 2\% precision of the local Hubble constant. The
value of the local Hubble constant is free from the problems of zero-point
calibration and model dependence, so the result can shed light on the Hubble
tension.
