"Joe and I played together in the league and (he) is a legend in our sport," Divac said in a statement. "As an experienced and talented basketball executive, I'm excited to have him serve as a special advisor and expert resource for our incredible front office team."
Dumars spent his entire 14-year playing career with the Pistons from 1985-99, helping them secure NBA championships in 1989 and 1990.
After retiring, he was named the franchise's president of basketball operations in 2000 and was named Executive of the Year in 2003. Dumars built the title-winning side in 2004, becoming the first African-American executive to lead a team to a championship. He remained Pistons president until 2014.
"I've known Vlade for decades, and I'm thrilled to work with him and the Sacramento Kings at such an exciting time for the franchise," Dumars said.
The 56-year-old was inducted into the Basketball Hall of Fame as part of the class of 2006. In March 2000, the Pistons retired his No. 4.