The ten-part adventure drama - based on Robert Louis Stevenson's 1886 novella - will also star Coronation Street's Natalie Gumede, reported Deadline.
Bateman will take the role of Robert Jekyll, Grant will play Sir Roger Bulstrode, and Gumede will star as Bella.
The cast of the series also includes Stephanie Hyam ('Murdered By My Boyfriend'), Donald Sumpter ('Game of Thrones'), Amit Shah ('Hustle'), Phil McKee ('Ripper Street') and Christian McKay ('Rush').
Ruby Bentall, Enzo Cilenti, Lolita Chakrabarti, Michael Karim and Ace Bhatti will feature in supporting roles.
Colin Teague will direct the series, which begins filming in Sri Lanka later this month. Production will take place in London from February until July.