Shell of medium size and shape for its group, angular, transparent, smooth-looking with spiral keels. The protoconch has ca 1.7 whorls, with sharp, fine spiral ribs. The teleoconch has ca 3.0 whorls, covered by an extremely fine spiral striation; with 2 keels above, one at and covered by, and 3 below suture. The parietal callus is thin. The peristome is sharp, rounded, and about as high as wide. Dimensions, height of shell 3.0 mm (maximum, holotype).

The tall, angular, and smoothly keeled appearance makes this species possible to recognise. Alvania moerchi has some resemblance, but has a more distinct incremental sculpture and a more plump shape. Furthermore, the spiral sculpture on the protoconch of A. angulata consists of distinctly undulated striae instead of straight ones. I have seen no other really similar species of the family.

Type locality. Off northwestern Iceland, 66°31.6' N, 25°37.5' W, 659 m, several specimens on a sunken piece of driftwood, leg. JB.
Distribution. Only known from the type locality.