The classification for Lucilla singleyana is as follows:

Domain Eukarya
Kingdom Animalia
Phylum Mollusca
Class Gastropoda, Subclass Pulmonata
Order Stylommatophora
Family Helicodiscidae
Genus Lucilla
Species Lucilla singleyana

This species is placed in each category for a particular trait or group of traits that it possesses.

Lucilla singleyana is a member of the Domain Eukarya because it has deoxyribonucleic acid (DNA) that is enclosed within a nucleus.

This snail falls into the Kingdom Animalia because it is a heterotrophic multicellular organism whose cells lack a cell wall.  A heterotroph is an animal that cannot create its own nutrition, so it feeds on either animals or plants.

Members of the Phylum Mollusca have a nervous system, coelem (a body cavity), soft body, and generally a shell that is secreted by the mantle.

The Class Gastropoda includes the "belly foots".  Gastropods are those that have a evolved to have a foot beneath their belly that they use to attach to substrates and move throughout their environment.  It is a Pulmonate Gastropod because it has a lung for breathing on land.

Lucilla singleyana belongs to the Order Stylommatophora because it is a pulmonate gastropod that has two pairs of retractable tentacles.  The anterior pair of those tentacles holds the eyes.

Members of the Family Helicodiscidae are small, air-breathing land snails.

The Genus Lucilla contains terrestrial pulmonate gastropod mollusks.

Lucilla singleyana was previously in the genus Helicodiscus in the subgenus Hebetodiscus. Faulkner et al. 2002 concluded that Hebetodiscus is a junior synonym of Lucilla. Therefore following Faulkner et al. 2002 and the discussion in Hotopp et al. 2010 this species is called Lucilla singleyana here.