A. sediba has a curious mix of ape and human features, suggesting it could be one of our direct ancestors.
"This is one of the most exciting and controversial fossil finds of recent years and it's fantastic to have this material at the museum," said Prof Ian Owens, the NHM's director of science.
"Researchers will get to work with it, but also the public will get to see it, and we hope that will really help bring the science alive," he told BBC News.
The replicas are a gift from the government of the Republic of South Africa and the University of the Witwatersrand, which is leading the investigation into the fossils.
The real specimens were found at Malapa in the famous Cradle of Humankind World Heritage Site, just to the northwest of Johannesburg.
It seems they died together in some tragic accident that saw them either fall into the cave complex or become stuck in it.
After death, their bodies were washed into a pool and cemented in time along with the skeletons of many other animals - sabre-tooth cats, hyenas, antelope, even birds and mice.
"All of this accumulation happened very, very quickly - in a few days, weeks or months," said lead researcher Prof Lee Berger of the Institute for Human Evolution at Wits University.
"Once we've completed this project, we're going to be able to show a texture of a moment in time that we have never seen before except in maybe the eruption of Mount Vesuvius and the burial of Pompeii."
Scientists are now engaged in an intense debate over the status of A. sediba in the story of our origins.
Prof Berger and his colleagues say the creature's mix of ancient and modern traits probably make it central to that story. They propose that A. sediba could even sit on, or very close to, the line that led directly to us - modern humans (Homo sapiens).
Other scientists remain to be convinced, and argue too little is known about the diversity of ancient human forms this far back in time to make any bold statements.


