Boudreau took over from Stanley Cup-winning coach Randy Carlyle in November and revived the Ducks' flagging fortunes with an impressive 27-23-8 record in 58 games last season.
"Since joining the organisation last November, Bruce has done an outstanding job with the team," Anaheim general manager Bob Murray said. "He's committed to us and determined to lead us back to the play-offs."
Boudreau was released by the Washington Capitals last year after leading them to four straight Southeast Division titles but with little play-off success.
"I'm really happy about this," Boudreau said of the contract extension. "I'm convinced we have a great core of players and a bright future, and I'm excited to be part of it."