Ferrari, whose race on Sunday lasted about 20 seconds until Sebastian Vettel and Charles Leclerc collided, said the team strongly supported diversity and equal opportunities.
Six-times Formula One world champion Lewis Hamilton praised his Mercedes team for taking a stance against racism but said after winning Sunday's Styrian Grand Prix that Ferrari and others should do more.
The Briton took a knee with 11 drivers before the race while wearing a Black Lives Matter T-shirt and then gave a raised fist salute on his car and on the podium after winning at the Red Bull Ring.
It was the second weekend in a row that drivers have knelt before the start, although not all have done so.
Taking the knee has become a common act of protest against racism and police brutality since the killing on May 25 of George Floyd, a Black American, by a white police officer in Minneapolis unleashed a global outpouring of sadness and outrage.
The gesture was not part of the official programme, as it had been before the season-opener at the same Austrian circuit when Formula One and teams emphasised an anti-racism message.
"We've seen Red Bull's mechanics take a knee, which I think is great, but as businesses and as teams... if you look at Ferrari who have thousands of people working with them, I've heard no word of Ferrari saying that they hold themselves accountable, and this is what they're going to do for their future," the sport's only Black driver told reporters.
"And we need the teams to do that. We need Formula One and the FIA to be more leading in those scenarios, saying 'hey guys, all of us together, everyone needs to pull together and fight for this.'
"I think a lot of people don't know what the problem is," added Hamilton, who has set up a commission to push for equal opportunity and more diversity in motorsport.
"Some people deny there is a problem."
Ferrari, whose race on Sunday lasted about 20 seconds until Sebastian Vettel and Charles Leclerc collided, said the team strongly supported diversity and equal opportunities.
"Equality of treatment and opportunity is not simply about the essential principle of equity," Ferrari CEO Louis Camilleri said this month when the company was awarded an equal pay certificate.
"It is a fundamental pillar to attract, retain and develop the finest talents to foster innovation and our long-term growth."
Vettel has knelt alongside Hamilton before both races while Leclerc remained standing but with 'End Racism' on his shirt.
"Formula One left us the choice to express ourselves in the way we wanted," Leclerc said.
"It was clearly written on our shirt to end racism, which is the main message we want to pass through."
