The move is retroactive to Nov. 7. Brunnstrom has missed three games since he was hit by defenseman Stephane Robidas in practice. Although Brunnstrom has practiced with the team, he has not yet been cleared for contact.
By putting Brunnstrom on IR, the Stars can call up Warren Peters to give them some more forward depth. Peters, who was playing for the Texas Stars, the AHL affiliate, had seven goals and four assists in 16 games.
Brunnstrom, 24, has played in 17 games for the Stars this season and has one goal and six assists.
The Stars face the Blue Jackets at 7:30 p.m. Thursday at American Airlines Center.