Acccording to the Beelzebub
official website, the first DVD was announced to be released in Japan on April 20, 2011. The DVD will include a short anime ‘"Hashire! Beru-bo Keiji!! (Run! Detective Beel-bo!!)", the first two episodes of the Beelzebub anime, and a card deco sticker.
Source: Beelzebub’s website
Beelzebub: Hashire! Beel-bo Keiji!!