The play is set 10 years after the Salem witch trials and Sevigny will play Abigail Williams, who believes she is responsible for the deaths of 20 innocent people.
Abigail now works as a caretaker for the sick in Boston but is still haunted by her sins. When she falls in love with a young sailor in her care, a chilling figure from her past demands for her soul.
Abigail/1702, which is written by Roberto Aguirre-Sacasa, will premiere at the New York Stage and Film from June 27 to July 8.
Sevigny previously appeared in Big Love and can be seen next in the biopic Lovelace.
Watch Chloë Sevigny speak about her role in new Sky drama Hit and Miss below: