The England and Manchester City star has backed marches across the country despite government warnings to avoid large gatherings due to the ongoing coronavirus pandemic.
He said: "This is the most important thing at this moment in time because this is something that is happening for years and years."
Large protests have been held in London, Manchester, Nottingham, Bristol, Wolverhampton, Glasgow and Edinburgh following the death of George Floyd.
Speaking to BBC's 'Newsnight', Sterling added: "Just like the pandemic, we want to find a solution to stop it.
"At the same time, this is what all these protesters are doing. They are trying to find a solution and a way to stop the injustice they are seeing and they are fighting for their cause.
"As long as they are doing it peacefully and safely and not hurting anybody and not breaking into any stores, they continue to protest in this peaceful way."
The 25-year-old forward also shrugged off speculation about what impact speaking out could have on his career.
He said: "First and foremost, I don't really think about my job when things like this happen. I think about what is right.
"And at this moment in time, there's only so much people can take. There's only so much communities and other backgrounds can take - especially black people.
"It's been going on for hundreds of years and people are tired and people are ready for change."