The 23-year-old has established himself as a key player for the Cherries since arriving from Brighton in January 2012 and he was rewarded with a new deal last summer.
He enjoyed another outstanding season in the Championship last term to spark interest from a number of clubs.
However, Bournemouth have ended speculation over Cook's future by securing the centre-back on a new deal and the news will be a massive boost for Eddie Howe's side ahead of the new campaign.
Cook told the club's official website: "This is an unfinished project for me. I said at the end of last season that I want to be in the Premier League with this club and these lads."