The crime novelist will bring the books to the comics medium for the European market in collaboration with Sylvain Runberg and José Homs.
The Girl with the Dragon Tattoo, The Girl Who Played with Fire and The Girl Who Kicked the Hornets' Nest will also be adapted for the Japanese market by an unnamed manga team. Artists for the project are yet to be announced.
DC Comics imprint Vertigo is working with Larsson's estate and the Hedlund Literary Agency to interpret each book as a two-volume graphic novel.
The Girl with the Dragon Tattoo will be the first to arrive in stores to coincide with David Fincher's movie adaptation.
Mina told The Scotsman that she is "a great admirer of the Larsson novels" but plans "to make the character of Lisbeth Salander tougher and less attractive".
The Girl Who Played with Fire and The Girl Who Kicked the Hornets' Nest graphic novels will be released in 2013 and 2014 respectively.
Watch a trailer for David Fincher's The Girl with the Dragon Tattoo below: