The Stars on Tuesday made Hull a special adviser to hockey operations and named former Los Angeles Kings general manager Dave Taylor the director of player personnel.
The 43-year-old Hull, who helped the Stars win the Stanley Cup in 1999, was a studio analyst on NBC last year while in a part-time role as special assistant to Stars president Jim Lites.
"I have always wanted to help a team win the Stanley Cup from the business side of things," Hull said. "I am excited about this next challenge in my life and look forward to working with the entire hockey operations department on a deeper level."
Hull is third on the NHL's career goals list with 741 and won another Stanley Cup with Detroit in 2002. The eight-time All-Star played for the U.S. in the 1998 and 2002 Olympics.
Taylor was the Kings' director of amateur development last season after nine years as the team's GM. As a player, Taylor was the Kings' all-time leader in games at 1,111, scoring 1,069 points.
"Dave brings a wealth of experience and success from his general manager days to his playing days that will prove invaluable to this organization," said Stars general manager Doug Armstrong.