Anya Reiss' versio of Anton Chekhov famous play will run at The Playhouse Theatre from 11 March 2020 with tickets on sale now.
The Seagull will be directed by Jamie Lloyd and is currently scheduled to play through 30 May, 2020.
Clarke, known for her screen roles including Game of Thrones, Solo: A Star Wars Story and Last Christmas, will take on the role of Nina.
She said: "I am over the moon to be playing Nina in Jamie Lloyd's interpretation of The Seagull. I've long been a fan of the singular vision he brings to each of his masterful productions and the way he approaches classical texts.
"We are so lucky to be working with Anya's brilliant adaptation, as she brings a light touch of modernity to this beautifully crafted play. I cannot wait to get stuck in with these two visionaries."
Completing the cast are Danny Ashok as Medvedenko, Robert Glenister as Sorin, Tom Rhys Harries as Trigorin, Daniel Monks as Konstantin, Tamzin Outhwaite as Polina, Patrick Robinson as Dorn, Seun Shote as Shamrayev, Indira Varma as Arkadina, and Sophie Wu as Masha.
The Seagull follows a group of characters who are united in their desire to find happiness.
A synopsis for the play reads:
A young woman is desperate for fame and a way out. A young man is pining after the woman of his dreams. A successful writer longs for a sense of achievement. An actress wants to fight the changing of the times.
In an isolated home in the countryside where dreams are in tatters, hopes dashed, hearts broken and there is nowhere left to turn, the only option is to turn on each other.