Grimpoteuthis greeni is a dumbo octopus found in deep waters off southern Australia.

Internal shell U-shaped, with well-developed 'shoulders' at lateral corners and with the ends of the shell terminating in broad lobes, each lobe with concave indent and spike-like projection from the ventral edge.

Regarding the digestive system, the radula and posterior salivary glands are absent.

The structure of the male and female reproductive system, as well as the internal shell, differentiate the species from Grimpoteuthis innominata.

[4] This species has been collected from the upper to mid continental slope of southeastern Australia and the Great Australian Bight, over a bathymetric range 480 to 1993 meters.