Key to genera:

1	Posterior margin of pronotum straight or concave, if slightly convex then humeral processes not spined; humeral processes normally blunt, if sharply pointed then specimens always chocolate in colour	2
	Posterior margin of pronotum convex, exceptionally with a small median concavity; if posterior margin straight or slightly concave medially then humeral processes produced into long sharp pointed spines; spined specimens pale green or hazy green but never chocolate in colour	9
2	Free projecting part of sternal processus not or only slightly flattened laterally, generally round, never absent	3
	Free projecting part of sternal processus greatly flattened laterally, if free projecting part absent then raised portion of processus in contact with mesosternum always flattened laterally	6
3	Antennae length half or more than half of habitus length	4
	Antennae length less than half of habitus length	5
4	Underside dark brown, ♂ posterior angles of pygophore strongly produced, ♀ distal spermathecal duct deprived of striated dilation	Homoiacoris Magnien
	Underside light brown, ♂ posterior angles of pygophore not produced, ♀ distal spermathecal duct fitted with a more or less swollen longitudinally striated dilation	Oukhypencha Magnien
5	Head width great, at least one third of pronotum width	Siphnus StåL
	Head width smaller, about one quarter of pronotum width	Acidosterna StåL
6	Length of free part of sternal processus equal to, greater than or slightly less than length in contact with sterna	Hypencha Amyot & Serville
	Free part of sternal processus reduced, always less than length in contact	7
7	Postero-lateral margins of segment 7 produced backwards into long flat and apically furcate processes; scutellum long, extending well onto membrane of forewing and gradually tapering apically	Mucanum Amyot & Serville
	Postero-lateral margins of segment 7 not or slightly produced, the latter never furcate apically, scutellum not or slightly extending onto membrane, never gradually tapering posteriorly	8
8	Humeral processus conspicuous, if not then apex of scutellum with a large yellow spot	Embolosterna StåL
	Humerus rounded, not produced, apex of scutellum concolorous	Tessaratoma Berthold
9	Width of pronotum at least equal and often much greater than that of abdomen, taken at level of 4th abdominal segment	Pygoplatys Dallas
	Width of pronotum at most 90 % of that of abdomen	Enada Walket

Comments; The present key is an adaptation of the one given by Kumar & Ghauri (1970). Modifications are as follow:
Some characters have been replaced by others which seemed easier to use;
Enada, Homoiacoris and Oukhypencha have bee added to the key;
Amissus, as being not a true Tessaratomina (Magnien, 2018), has been excluded.