The defensive specialist recorded one goal and 12 assists in 68 games last season while leading the franchise with a plus-11 rating. He was second with 103 blocked shots.
"Glen had an outstanding season last year, and continues to be a steadying force on our blue line," Jim Rutherford, the Hurricanes' president and general manager, said after Friday's signing. "His leadership is important to the fabric of our dressing room and we are glad he is returning to play another season."
In 1,379 NHL games with Boston, Toronto and Carolina, Wesley has 127 goals with 402 assists for 529 points.
He is seven minutes shy of 1,000 career penalty minutes and is the only original Hurricane left from the 1997-98 squad that made the move from Hartford.