The drama is the network's fifth original series, following the award-winning Mad Men, as well as Breaking Bad, Rubicon and The Walking Dead.
Having announced the pilot in January, AMC will screen 13 one-hour episodes of The Killing next year.
Written by Cold Case's Veena Sud, and set in Seattle, the series tells the story of the murder of a young girl and the subsequent police investigation.
"We are thrilled to be moving forward with this stunning piece of television. It is a crime drama, but it is also a gripping character based story that pulls you in and doesn't let go. The storytelling is completely compelling, and the show is visually breathtaking." said Joel Stillerman, AMC's SVP of original programming, production and digital content.
"Ever since Mikkel Bondesen brought us this remarkable Danish mini-series, we were determined to bring it to American television," said David Madden, EVP Fox Television Studios. "We are so proud to be working with AMC and our extraordinary cast on this very special series."