Hamilton, a six-time world champion who took the 90th race win of his career on Sunday, wore a T-shirt that read “ARREST THE COPS WHO KILLED BRÉONNA TAYLOR” on the front and “SAY HER NAME” above a photograph. Taylor on his back before the race and at the podium ceremony.
Having initially said it would look into the matter, the FIA will instead refine its recommendations on what will be allowed for drivers and teams both before and after the race.
The FIA is aiming to put these rules in place ahead of the next race of the 2020 season, due to take place in Sochi, Russia on 27 September.
“I want you to know that I won’t stop, I won’t give up, I won’t stop using this platform to shed light on what I think is right,” Hamilton wrote on Instagram.
“I want to thank those of you who continue to support me and show love, I am so grateful.
“But this is a journey for all of us to come together and challenge the world on all levels of injustice, not just racial.
“We can help make this place a better place for our children and future generations.”
Taylor was fatally shot at her Louisville home in March when three plainclothes police officers complied with a knocking order.
“It has been 6 months since Breonna Taylor was killed by police in her own home. So far, justice has not been done. We will not be silent,” Hamilton tweeted on Sunday, along with photos of himself in a T-shirt.
He also added in a post-race conference: “It took me a long time to get this jersey and I wanted to put it on and draw attention to the fact that there are people who have been killed on the street and there are people who have been killed in own house.
“We have to keep raising awareness … I think we just need to keep pushing this issue.”
He also announced plans to set up a commission in his own name to increase diversity in motorsport.
Winning the Tuscany Grand Prix means Hamilton is now one step short of Michael Schumacher’s record of 91 Formula One race wins.
Elizabeth Joseph and Suzanne Cullinan of CNN contributed to this report.
