Bradley, who started 44 games for the Lakers this season, informed team management of his decision. The Lakers will be able to sign a replacement player for Bradley, with free-agent scorer JR Smith emerging as a leading candidate, sources told ESPN.
At the forefront of Bradley's decision to remain with his family is the well-being of his oldest child, his 6-year-old son, Liam. Bradley and his wife, Ashley, have three children.
Liam Bradley has a history of struggling to recover from respiratory illnesses, and it is unlikely that he would have been medically cleared to enter the Orlando bubble with his family.
"As committed to my Lakers teammates and the organization as I am, I ultimately play basketball for my family," Avery Bradley said. "And so, at a time like this, I can't imagine making any decision that might put my family's health and well-being at even the slightest risk.
"As promised also, I will use this time away to focus on the formation of projects to help strengthen my communities."
Bradley has been a co-leader with Brooklyn's Kyrie Irving of a players coalition that has sought to have several issues centered on social justice, racial equality and empowerment addressed with the National Basketball Players Association and NBA in the league's restart.
Bradley has been a key two-way player for the Lakers, who are the Western Conference's No. 1 seed heading into the 22-team restart in Florida.
Kentavious Caldwell-Pope is the likely candidate to replace Bradley in the Lakers' starting lineup.
Bradley stands to lose a projected $650,000 in salary by sitting out the season's resumption. He has averaged 8.6 points and 2.3 rebounds per game for Los Angeles this season.