Bissonnette spent the last five seasons with the Phoenix Coyotes, and registered two goals and six assists in 39 games last season.
The 29-year-old is a former fourth-round draft pick by the Pittsburgh Penguins in 2003.
I'm excited to be here. It's a really good group of guys," Bissonnette said. "I know I have to come in and make a team, and I don't even know if there are spots available. (But I) have to showcase and try to make a team."
Blues training camp begins on Friday.
- Molly Geary