HighDefDigest has announced that Paramount Home Entertainment will release Cloverfield on June 3rd, 2008!
This is the official release by PHE:
Following the initial wave of titles, Producer J.J. Abrams' monster hit, Cloverfield, arrives on Blu-ray on June 3. Earning over $166 million in worldwide box office to date, Cloverfield thrilled critics and audiences alike with its shocking, first-person video account of a horrifying attack on Manhattan by an unknown -- and seemingly unstoppable -- force. The Cloverfield Blu-ray will include an exclusive feature-length "Special Investigation Mode" with added details about the film. Additional features include a director commentary, Making Of featurettes, deleted scenes, alternate endings with commentary and more.
BTW, also the OFFICIAL Paramount Blu Ray site says "Coming Soon".