Demouge, who has played in the Dutch top flight for all but one of the last 10 seasons, will sign a two-year contract at Dean Court.
The 29-year-old scored seven goals in 23 appearances for FC Utrecht last season, including five in his last four games for the club.
He becomes Cherries manager Paul Groves third summer signing following the arrivals of Josh McQuaid and Lewis Grabban.
Demouge began his career at NEC and counts FC Eindhoven and Den Bosch as former clubs.
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