The team did not disclose terms of the deals.
Burish, a forward, had four goals and four assists in 81 games last season and was third in the NHL with a team-leading 214 penalty minutes.
Byfuglien scored 19 goals and had 17 assists in 67 games. The 23-year-old forward started the season with AHL Rockford after suffering a rib injury in the preseason.
Wisniewski, a defenseman, had seven goals, 19 assists and 103 penalty minutes while posting a plus-minus rating of plus-12 in 68 games.