[2] Molecular phylogeny suggests that it is sister taxon to the clade containing Dasypops and Myersiella.
In the skull, palatine bone is present, as is the posterior part of prevomer.
[6] One species, Stereocyclops parkeri, is known to show defensive behavior that may enhance its cryptic appearance, giving an impression of a casually dislodged leaf: when an individual is disturbed, it makes a short leap, landing with its legs stretched backwards.
It will then remain still, sometimes as long as 30 minutes, although it may also move a little forward with a quick movement of the feet, resembling a flicked leaf.
[7] There are four species in the genus:[2][4] (Carvalho, 1954) Cope, 1870 Caramaschi, Salles, and Cruz, 2012 (Wettstein, 1934)