John Nimmo and Isabella Sorley pleaded guilty to sending "menacing" tweets to a feminist campaigner following her successful campaign to ensure a woman features on British banknotes.
Nimmo, 25, and Sorley, 23, admitted a charge of sending the messages in July last year to Caroline Criado-Perez.
The pair sent the tweets after Bank of England Governor Mark Carney revealed that Pride and Prejudice author Jane Austen would replace Charles Darwin as the face of the £10 note.
The announcement was hailed as a "brilliant day for women" by Ms Criado-Perez.
More top news
Police chief says the video can now be release without 'adversely impacting' the investigation.
The news was announced on Instagram by director Spike Lee who described him as a "dear friend" and "a great actor".
In a statement the pair said they remained "great friends" and "will continue to support each other".