Some excellent work has been done (literally) by archeologists who have sought to answer this question about the Great Pyramid in Egypt, as well as the transport and shaping of the huge megaliths that form Stonehenge. It's been demonstrated how they might have done it with ropes, levers, and generations of people with a very fierce determination to get the job done.
But many people believe that, just as the ancients understood the unique properties and geo-magnetic energy currents of sacred places in ways that we have lost, so too they may have had a capacity to move stone and work stone in ways that we no longer understand.
Is levitation of stones only something that can happen in a fantasy novel? How about the Sufi temple just outside of Pune, India, whose members have been "levitating" a stone weighing 170 pounds daily for many years? They are very specific about how they do it - they work in groups of 11, and have a sacred song/mantra they together chant while performing this remarkable feat, which a participant (V.S. Gopalakrishnan) described as "very light":
"No single person can lift any of the stones from the ground with all the ten fingers, heavy indeed as they are. How do the stones ‘levitate’? The word ‘levitate’ is perhaps a misnomer because they do not go up from the ground by themselves. Then, what is the miracle about the stones? My younger son of about 10 years and I were keen participants in the mystery-act. Any eleven males (including boys) could stand around the big stone lying on the ground. Each person has to simply bend down and ‘gently’ touch the stone with just one index finger. The touching has to be in the bottom half, not the top portion of the stone. After the eleven people thus touch the stone, all of them have to utter, in unison and loudly, the expression, “Kamarali Darvesh”. My experience was incredible. The stone rises up to eight feet before falling to the ground. While the stone was rising, your index finger feels very light and there is no pressure on it. It was as if some spiritual force through the eleven of us was guiding the stone to rise up. Why does it fall after going up eight feet or so? It is because our finger can no longer touch it above that height."http://morris108.wordpress.com/2008/06/11/pictures-sufis-really-levitating-an-80-kilo-stone-india/
The author of the Blog above commented that he believed any group of people could, like in "Table Tipping", perform this feat of levitation, but we are no longer able to group together and concentrate together in such a manner - that the combined energy of the group is needed.
And then there's the Latvian emigrant Edward Leedskalnin (1887 to 1951) , a small and solitary man who managed to carve and raise huge blocks of limestone to build the monument that's come to be called Coral Castle in Florida. He was also known for his theories on magnetism. Like Simon Rodia in Los Angeles who created the amazing Watts Towers in his backyard, Leedskalnin's life work was creating his "castle", but unlike Rodia, no one can figure out how he did it, as the mysterious Leedskalnin worked at night, and was very secretive about allowing others to see him at work. He commented that he "knew the secrets of the great pyramids", but if he did, he never shared them and took them to his grave.