Lewis Hamilton will not be punished for his T-shirt splashed with the message "arrest the cops who killed Breonna Taylor", which he wore before and after his win at the Tuscan Grand Prix on Sunday.
The words "say her name" and a photograph were on the back of Hamilton's shirt.
The FIA were considering whether it had broken their rules, but have decided not to pursue any action against the six-time world champion.
'Got bigger fish to fry' — Hamilton is given extension to remove his jewellery by the FIA
However, they said they will clarify guidelines surrounding what drivers can do before a race and on the podium.
In a post on Instagram, Hamilton told his 20 million followers: "Want you to know that I won't stop, I won't let up, I won't give up on using this platform to shed light on what I believe is right.
"This is a journey for all of us to come together and challenge the world on every level of injustice, not only racial.
Image credit: Getty Images
Taylor, a 26-year-old black woman, was killed by police officers who burst into her apartment in Louisville, Kentucky, in March.
One police officer involved was fired by the city's police department in June. Two other officers have been placed on administrative reassignment. No criminal charges have been filed against any of the three.
"It took me a long time to get that shirt and I've been wanting to wear that and bring awareness to the fact that there's people that have been killed on the street and there's someone that got killed in her own house, and they're in the wrong house, and those guys are still walking free," Hamilton said after the race at Mugello.
"We can't rest, we can't... we have to continue to raise awareness with it."
US Open champion Naomi Osaka wore a face mask with Taylor's name on it - one of a series of masks she wore on her way to the title - and Hamilton called her an "inspiration".
"I think she's an incredible inspiration with what she's done with her platform. I think we just have to continue to push on the issue."
With additional reporting from Reuters
Hamilton ‘mentally and emotionally destroyed’
Monaco Grand Prix
'Probably the bumpiest track I've ever driven' - Hamilton reflects on 12th in practice
Monaco Grand Prix
Leclerc tops both practice sessions as Ricciardo crashes out, Hamilton 12th
Share this article