Brind'Amour, who will turn 40 in August, played in 1,484 regular-season games and 159 postseason games, collecting a total of 1,295 points.
He led the Hurricanes to their only Stanley Cup championship in 2006.
"For 10 years, Rod Brind'Amour has represented the best of Hurricanes hockey," general manager Jim Rutherford said. "He helped the franchise reach two Stanley Cup finals and led the team to its first championship. His work ethic set the bar for what is expected in our locker room, as did his professionalism and leadership. I look forward to working with Rod as he begins his next chapter in hockey."
Brind'Amour had served as the Hurricanes' captain from August 2005 to January, when Eric Staal, 25, was named captain. Brind'Amour remained an assistant captain.
Brind'Amour, drafted by the St. Louis Blues ninth overall in 1988, won consecutive Selke Trophy awards as the NHL's top defensive forward (2005-06 and 2006-07).