"Little Dancer Aged Fourteen" had a pre-sale estimate of $25 million to $35 million. The auction was Tuesday night, but there were no bids.
The 40-inch high work depicts a standing ballerina wearing a satin hair ribbon and a fabric tutu.
The original was made of tinted wax. After his death in 1917, Degas' heirs had 28 cast in bronze.
Most are in museums. Ten are in private hands, including the one that was offered at Christie's.