All cosmetics tested on animals would be banned in Australia under a proposal by the Greens.

Senator Lee Rhiannon will on Monday introduce a private member's bill to ban all animal-tested cosmetics in Australia, including those imported from countries that test on animals.

Ban: Lee Rhiannon. Credit:Katherine Griffiths

And Labor's deputy leader Tanya Plibersek will this week separately launch a national consultation on phasing out the importation, manufacture, sale and advertising of cosmetics or cosmetic ingredients tested on animals.

Ms Plibersek would not comment on the Greens' bill before it is debated in Parliament, but the Greens are confident of securing Labor's support for its legislation.