ENTERTAINMENT NEWS - The show won best drama series, best director for Reed Morano and best actress for Elisabeth Moss.
Producer Bruce Miller thanked author Margaret Atwood, "who created this world for all of us".
The show's win for best drama means Hulu has leapfrogged Netflix and Amazon to become the first streaming service to win a best series Emmy.
Riz Ahmed was among the British winners, taking home best lead actor in a limited series or movie for The Night Of.
Other British winners included Charlie Brooker, who won best writing for a limited series for his Netflix show Black Mirror.
One of the episodes, San Junipero, also won the trophy for best TV movie. Brooker said it "was a story about love, and love will defeat hate, it will win".