The network have ordered a pilot episode of the remake, which is based on the popular ITV series starring Dame Helen Mirren.
According to Deadline, Stephens has been cast as the romantic interest of lead character Jane Timoney, who will be played by ER actress Maria Bello.
Stephens will play Timoney's live-in boyfriend, who helps her deal with both professional and personal struggles.
The actor is best known for playing the lead Bond villain in Die Another Day, but more recently starred in the BBC2 comedy Vexed.
Prime Suspect is expected to debut on NBC in the fall.