Green has a son named Draymond Jamal Green Jr., affectionately known as DJ, who was born on December 22, 2016, to Green’s ex-girlfriend Jelissa Hardy.

Green has frequently been spotted at Warriors games with DJ, and he has mentioned that his son is comfortable interacting with his teammates. In a 2022 interview with E! News, Green shared an anecdote about DJ being in the locker room after a Warriors practice. At just 5 years old at the time, DJ expressed his eagerness to rebound for Steph Curry, which amused both Green and his teammate Juan Toscano-Anderson.

Green expressed his amazement at DJ’s nonchalant attitude towards being around basketball greats like Curry. He also mentioned that DJ is warmly welcomed by the staff at the Chase Center, the Warriors’ home arena, and feels right at home there. Green expressed his gratitude towards the Warriors staff and his teammates for making DJ feel included and valued. He emphasized the priceless experiences that DJ gets to have, such as rebounding for NBA players, thanks to the supportive environment created by the Warriors organization.