The show, which has been penned by Five Daughters scribe Stephen Butchard, focuses on a policeman in Liverpool whose life is turned upside down when his best friend is murdered.
He ends up hoping to get revenge on his friend's killer.
"As soon as I read the script I knew I wanted to be part of this project," Brown said. "Savage is fantastically written and to be given the opportunity to play such a complex character is something every actor dreams of."
Brown has previously starred in shows like Luther, Single Father, Criminal Justice, Occupation and Dead Set.
He will be joined in Savage by Boardwalk Empire's Stephen Graham, Boys From The Blackstuff star Michael Angelis and Five Daughters actress Aisling Loftus.
Other stars who have joined the cast include Mark Womack, Kerrie Hayes and Christine Tremarco.
Filming on Savage will begin in Liverpool this month and the show is due to air on BBC One next year.
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