The 33-year-old defenseman could have been an unrestricted free agent July 1. He had nine points (one goal, eight assists) in 77 games during his first season with the Stars after signing a one-year, $1.3 million contract July 1, 2018.
Polak had one assist in 13 Stanley Cup Playoff games to help the Stars advance to the Western Conference Second Round, which they lost in seven games to the St. Louis Blues.
"Roman personifies what it means to be a professional and his mentorship to our younger players proved to be invaluable to our organization," Stars general manager Jim Nill said. "His team-first attitude and physical style of play is endearing to both his teammates and the coaching staff, and we're thrilled to have him back."
Selected by St. Louis in the sixth round (No. 180) of the 2004 NHL Draft, Polak has 136 points (26 goals, 110 assists) in 765 regular-season games with the Stars, Toronto Maple Leafs, San Jose Sharks and Blues. He has four assists in 71 playoff games and helped the Sharks reach the Stanley Cup Final in 2016, a six-game loss to the Pittsburgh Penguins.
The Stars also signed forward Mattias Janmark to a one-year, $2.3 million contract on Thursday. Janmark, who could have been a restricted free agent July 1, had 25 points (six goals, 19 assists) in 81 regular-season games with the Stars last season and three points (one goal, two assists) in seven Stanley Cup Playoff games.
