Above Suspicion will centre on detective DC Anna Travis, played by Kelly Reilly (He Kills Coppers, Joe's Palace), as she takes on her first murder case.
Travis is described as "a young and ambitious officer who is fast-tracking her way through the ranks, eager to prove herself to be as successful as her late father".
Ciaran Hinds (There Will Be Blood) will play Travis's boss Detective Chief Inspector Langton.
Above Suspicion is based on La Plante's bestselling novel of the same name. Filming will begin in London next month.