The film received a nomination in the Best Motion Picture Drama category alongside Boyhood, Foxcatcher, Selma and The Theory of Everything.
And it also received nominations for its actors: Benedict Cumberbatch in the Best Actor - Drama category and Keira Knightley for Best Supporting Actress. As well as a best score nod for Alexandre Desplat.
The film, which is part bio pic part thriller, looks at the life of mathematician Alan Turing whose creation of a sophisticted computer breaks the Nazi's Enigma code and helps win World War II for the allies.
The Globes will air on NBC Sunday, January 11.