This is the second comprehensive study on Triviidae since Cate's (1979) famous 'Review'. This volume descroes two new genera but especially species from the central Indo-Pacific, Pacific and SW Indian Ocean that are new to science. Almost all new taxa are from deep sea down to 1000 m. Fehse, D.: Contributions to the knowledge of Triviidae, XXIVX-A. New Triviidae. A. Introduction to Parts XXIX B to F. Fehse, D.: Contributions to the knowledge of Triviidae, XXIVX-B. New Triviidae from the Philippines. Fehse, D.: Contributions to the knowledge of Triviidae, XXIVX-C. New Triviidae from Taiwan. Fehse, D.: Contributions to the knowledge of Triviidae, XXIVX-D. New Triviidae from Indonesia. Fehse, D.: Contributions to the knowledge of Triviidae, XXIVX-E. New Triviidae from Australes. Fehse, D.: Contributions to the knowledge of Triviidae, XXIVX-A. New Triviidae from Marquesas. New taxa: Gregoia n. gen., Novatrivia n. gen., Gregoia mauricettae n. sp., Gregoia albengai n. sp., Gregoia mariecatherinae n. sp., Gregoia yurikantori n. sp., Gregoia danielleae n. sp., Gregoia formosa n. sp., Gregoia vorago n. sp., Gregoia aemula n. sp., Gregoia tenera n. sp., Gregoia paenegloba n. sp., Gregoia petitdevoizei n. sp., Gregoia boucheti n. sp., Gregoia densedentata n. sp., Gregoia distantia n. sp., Gregoia albamargarita n. sp., Gregoia rimatara n. sp., Novatrivia mirabilis n. sp., Novatrivia taiwanica n. sp., Novatrivia far n. sp., Trivellona gilbertoi n. sp., Trivellona aliquando n. sp., Trivellona samadiae n. sp., Trivirostra prosilia n. sp., Trivirostra declivis n. sp., Trivirostra lacrima n. sp., Cleotrivia rustica n. sp., Cleotrivia dissimilis n. sp., Purpurcapsula laurae n. sp.