Channel controller Richard Klein first announced the acquisition in August, but the relevant sentence was later deleted from the BBC's press release.
However, in a new BBC statement, Klein has said: "I'm delighted that we have acquired Parks and Recreation, one of America's smartest comedy series."
He continued: "BBC Four is in really great shape at the moment, with share continuing to increase. We've had a great critical and audience response to recent programmes, from Food Glorious Food to the Big Science season; and of course, the much anticipated return of The Killing III which launched with over a million viewers."
Parks and Recreation stars Amy Poehler (Saturday Night Live, Mean Girls) as Leslie Knope, an optimistic, mid-level bureaucrat who works at the Parks department in the fictional town of Pawnee, Indiana.
The comedy - which is currently airing its fifth season in the US - was co-created by Greg Daniels and Michael Schur (NBC's The Office) and also stars Rashida Jones, Aziz Ansari, Nick Offerman, Aubrey Plaza, Chris Pratt, Adam Scott and Rob Lowe.
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Watch a clip from Parks and Recreation below: