Taylor, a 26-year-old Black emergency medical technician, was fatally shot by police as officers attempted to serve a no-knock search warrant at her apartment on March 13. The shooting has sparked months of protests in Louisville, Kentucky with calls for the officers to be charged in her death.
"I've been wanting to bring awareness to the fact there are people being killed on the street," Hamilton said after recording his 90th F1 victory.
"And someone was killed in her own house and they were in the wrong house and those guys are still walking free."
Mercedes F1 boss Toto Wolff said Hamilton had the full backing of the team.