The label's name may also be cited graphically as □□□□□□ rather than the word "Blocks". Although this is in fact the label's official name, the word "Blocks" is used where it is not typographically possible to use the graphical series of blocks.
Artists who have released material through Blocks include Final Fantasy, Bob Wiseman, Barcelona Pavilion, The Phonemes, Les Mouches, Ninja High School, The Blankket, Hank, Kids on TV and The Creeping Nobodies.
Final Fantasy's second album on Blocks, He Poos Clouds, was named the winner of the inaugural Polaris Music Prize in 2006. Owen Pallett, the artist behind the Final Fantasy project, announced that he would donate a significant portion of his prize money to the label to help other artists.
Since then the club has been run by an elected board of directors. The first board of directors was James Anderson, Steve Kado and Matt McDonough. The second board comprised Katarina Gligorijevic and Bob Wiseman, along with the three members of the board from the previous year. Blocks' current board of directors is Bob Wiseman, Brian Joseph Davis, Magali Meagher, Katarina Gligorijevic and John Caffrey.