The series is up for Outstanding Achievement in Drama as well as Outstanding New Program against Girls, New Girl, Revenge and Smash.
Danes has also landed a nomination for Individual Achievement In Drama for her role in Homeland as CIA operations officer Carrie Mathison.
She faces stiff competition from Bryan Cranston (Breaking Bad), Peter Dinklage (Game of Thrones), Jon Hamm (Mad Men) and Jessica Lange (American Horror Story).
Homeland is also gunning for the top prize – Program Of The Year – alongside Breaking Bad, Game of Thrones, Mad Men and Downton Abbey.
The winners will be revealed on 28 July (12) at the Beverly Hilton Hotel in Beverly Hills, California.