• Trichinites Hennig, 1970 † (uncertain)
• Trichopnites Dajoz, 1982
• Tricoccites K.P. Rode, 1933 † (uncertain)
• Tricolpites I.C. Cookson ex R.A. Couper, 1953 †
• Tricolpites T. van der Hammen, 1954 † (unaccepted)
• Tricorniger A.B. Doweld, 2016 †
• Tricornis Jousseaume, 1886
• Tricosmites Jaeckel, 1918 †
• Triorites N.E. Ross ex R.A. Couper, 1953 †
• Triporites T. van der Hammen, 1954 †
• Tritonites N.G. Marshall & A.D. Partridge, 1988 † accepted as Paucilobimorpha J. de Coninck, 1986 †
• Trizonites K. Mädler, 1964 †