The as-yet-unnamed material - a form of artificial rubber - is made from vegetable oil and a component of urine.
The substance, described in the journal Nature, produces surfaces when cut that retain a strong chemical attraction to each other.
Pieces of the material join together again as if never parted without the need for glue or a special treatment.
This remarkable property comes from careful engineering of the molecules in the material.
The French researchers are already making kilogramme quantities in their Paris laboratories and say the process is almost completely green, and could be completely so with a few adjustments.
