Earlier in the day, the Bruins acquired forward Rob Flick from the Chicago Blackhawks in exchange for forward Max Sauve, which happened to be the first trade of the day on Deadline Day.
Redden, 35, appeared in 23 games this year with the St. Louis Blues, scoring two goals and three assists with 11 penalty minutes.
In 1,017 NHL games between Ottawa Senators (1995-2008), New York Rangers (2008-2010) and the Blues (2013), Redden has registered 108 goals and 347 assists for 455 points during that span. Redden skated in his 1,000 NHL game on Feb. 7, 2013 against the Detroit Red Wings and is the 10th active defenseman to reach that milestone.
The native of Lloydminster, Saskatchewan was drafted second-overall by the New York Islanders in the 1995 NHL Entry Draft.