Turner, a defensive tackle, and Denmark, a receiver, both originally signed with Winnipeg in 2011.
"These are the types of difficult decisions that must be made throughout the off-season,'' Blue Bombers general manager Kyle Walters said in a statement. "Both Bryant and Clarence have done great things for this organization both on and off the field for a long time now.
"The Winnipeg Blue Bombers sincerely thank both men for the dedication, hard work, and effort they put forth. We wish them the very best moving forward.''
The six-foot-two 279-pound Turner had 89 tackles, 26 sacks and four forced fumbles during his tenure with Winnipeg. He had a career-high 20 tackles in 2012, then followed that up by registering a career-best seven sacks in 2013.
Turner recorded 17 tackles and four sacks in 10 games with Winnipeg last season.
(The Canadian Press)