Woods became the first African-American golfer to win a major at the 1997 Masters, but is hesitant to express his views on social issues.
The 15-time Major winner, whose father Earl was a green beret in the US military, joined other superstars like LeBron James and Magic Johnson to speak.
“My heart goes out to George Floyd, his family and all of us who are suffering right now,” Woods wrote on Twitter. “I have always had the utmost respect for our police.
“They train so diligently to understand how, when and where to use force.
“This shocking tragedy clearly crossed that line.
“I remember the riots in Los Angeles and learned that education is the best way to go. We can assert our views without burning down the very neighborhoods in which we live.
“I hope that through constructive and honest conversations we can build a more secure and unified society.”
Woods grew up in southern California and was 16 years old at the time of the Los Angeles riots in 1992.
The American was joined by European stars with Jon Rahm quoting Nelson Mandela on social media and while his Ryder Cup star colleague Thomas Pieters criticized Donald Trump.
The Belgian posted: “Black lives count. I would like my American friends I met at the University of Illinois and across America not to be treated differently because of the color of their skin.
“As president, please unite your people now and give them solutions. “