The deal includes the first 10 seasons of the show, which premiered on CBS in 2002. The pact also covers two additional seasons of the series if produced.
The spinoff of "CSI: Crime Scene Investigation" stars David Caruso as the head of a South Florida team of forensic investigators who use cutting-edge scientific methods and old-fashioned police work to solve crimes.
The "CSI: Miami" reruns are to start on AMC Jan. 2. It will air Monday through Friday.
"'CSI: Miami' is one of television's most powerful franchises, and AMC is proud to add it into our programming lineup," Tom Halleen, AMC's senior vice president of programming and scheduling, said in a statement. "Dramatic storytelling is expressed at AMC through our library of celebrated films, award-winning original series, and now is further complemented through our first off-net series, 'CSI: Miami.'"