The show is nominated for Outstanding Comedy Series, while Phoebe Waller-Bridge is up for Lead Actress in a Comedy Series.
Killing Eve stars Jodie Comer and Sandra Oh are both nominated for Lead Actress in a Drama Series, while their castmate Fiona Shaw is up for Supporting Actress in a Drama Series.
Veep emerged with nine nominations, including one in the Lead Actress in a Comedy Series category for Julia Louis-Dreyfus.
Its stars Emilia Clarke and Kit Harington are also nominated in the Lead Actress/Actor in a Drama Series category.