Morphological diagnoses are given for the cricket family Trigonidiidae and its two monophyletic subfamilies, Trigonidiinae Nemobiinae. Owing to their morphological characters, we transfer extant genus Lissotrachellus Hubbell, 1838 from Gryllidae: Pentacentrinae Trigonidiidae: was type of Lissotrachelini including also Trigonidomimus Caudell, 1912 Tohila 1938 which here transferred incertae sedi...