The medical dramedy, which stars Delany as medical examiner Dr Megan Hunt, will make its terrestrial debut sometime in January, 2012.
Body of Proof is currently airing its second season on the ABC network in America.
The show is also broadcast on Alibi, and has become the pay-to-view digital channel's most-watched show.
Paul Fagan, head of acquisitions at Channel 5, said in a statement: "We are delighted to have Body of Proof airing on Channel 5.
"With its talented cast and dramatic storytelling this powerful series will greatly enhance Channel 5's traditional commitment to presenting quality American drama to UK audiences."
Body of Proof joins the likes of CSI and The Mentalist in Channel 5's slate of US drama imports.
Watch a trailer for Body of Proof below: