The thriller comes from the "Fleabag" creator and award-winning writer Phoebe Waller-Bridge.
The eight-part series will premiere on BBC One and BBC Three later this year, according to The Hollywood Reporter.
Oh stars in the eponymous role as a bored MI5 security officer who feels chained to her desk job and wants to fulfil her fantasies of being a spy.
When Eve is tasked with tracking down a fierce assassin Villanelle before she can strike again, the two women end up against each other in a cat-and-mouse game, yielding an unseen twist to the quintessential spy thriller.
The show also stars Fiona Shaw, David Haig, Kim Bodnia, Darren Boyd, Sean Delaney, Kirby Howell-Baptiste and Owen McDonnell.
The series is based on the Villanelle novellas by Luke Jennings.
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