The team announced Wednesday it had signed the 26-year-old forward to a two-year contract with an average salary of $2.2 million.
Blueger, who played on Pittsburgh's fourth line, tied a career high with 22 points (seven goals, 15 assists) in 43 games for the East Division champions.
"Teddy has proven to be a versatile, two-way center, as well as a fixture on the penalty kill," general manager Ron Hextall said in a statement. "He is a valuable player for our team."
Blueger played a vital role on Pittsburgh's penalty-killing unit and scored a career-best three short-handed goals this past season. His four shorthanded goals since breaking into the NHL during the 2019-20 season is the most on the team over that span.