The animals which don't have vertebral column are called invertebrates.
They are
1) poriferans
2) Coelenterates
3) Platyhelminthes
4) Nematyhelminthes
5) Annelids
6) Arthropods
7) Molluscs
9) Echinodermates
An living organism without a spine or central body structure.
an animal without a back bone :) sexy