A five-time Pro Bowler, the 33-year-old Graham has seen a drop in his production during recent years, but the Bears believe in his fit within their scheme. Graham's deal includes $9 million guaranteed.
"With Jimmy Graham, I think it's a good example where we're all connected on a vision for a player with our team," general manager Ryan Pace said on a teleconference Friday. "You have the physical evaluation on the player. Obviously, a guy we know well. But then you have the fit within our offensive scheme.
"We're all really excited about him being a Bear and how we're going to maximize him."
Graham had 38 receptions for 447 yards and three touchdowns with the Packers last season. He cited knee issues and poor scheme fit as part of the reasoning for low production.
"If I didn't think that I had the ability to dominate this league, then I wouldn't play anymore," Graham said on a teleconference last week. "But I still believe that I have that ability.
"I'm going to give them everything I got."
The Bears struggled to find any kind of production at the tight end position in 2019. Trey Burton led all Bears tight ends with 14 receptions. No single tight end posted 100 yards for the entirety of the season.
For coach Matt Nagy, Graham represents a key addition at an important position in his offense.
"It's just a fit for us," Nagy said. "Big size, 6-6 playmaker that you can get some mismatches with. I know me personally, I'm very looking forward to putting him in some situations."