The broadcaster has picked up the rights to the CBS action-drama, which stars Jim Caviezel and Michael Emerson.
The show follows former CIA agent Reese (Caviezel) and enigmatic billionaire Finch (Emerson) as they fight crime in New York with the help of a machine that can predict the future.
Channel 5's head of acquisitions Katie Keenan has described the drama as a "dark mix of cops, corruption and crime".
Person of Interest will debut in the UK in July, having made its US premiere in September last year.
The show's first season concludes tonight (May 17) on CBS, with a second season already commissioned.
The 22-part series was created by Jonathan Nolan - writer on The Dark Knight and Memento - and was executive produced by JJ Abrams.
> Person of Interest hits new season high of 15.8 million for CBS
Watch a clip from Person of Interest below: