The video was caught in the official press conference of imageepoch, the game developer in Nihonbashi in which they launched eight new game which includes this one.
The trailer below you is a better quality of the original trailer posted before.
The story was set in the future in the year 2051, 19 years after aliens called, Apostles launched a war that reduced mankind to just 12 survivors. The ultimate weapon, Black Rock Shooter, awakens to face off against the seven Apostles and their countless mecha.
Kazushige Nojima (Final Fantasy VII: Advent Children, Last Order Final Fantasy VII) is writing the scenario based on huke's original story and character designs.
The anime studio, ufotable (Coyote Ragtime Show, Mobile Suit Gundam SEED, Sonic X) will be animating sequences in the said game, their involvement in the game was later confirmed via their Twitter account.
Black Rock Shooter the Game will be released in Summer 2011.
Source: Danny Choo, 4Gamer, Temple Knights, Kyō mo Yarareyaku via ANN, JRPG.jp (For the PSP image)