As the Instituto Paulista de Oceanografia (The São Paulo Oceanographic Institute) received a great deal of carcinological material collected by its Director, Prof. W. Besnard, on the trip made to the Ilha da Trindade (20º 30' 00" S. & 29º 22' 00" W.), the author resolved to examine the Arthropoda of that region. Although especially interested in the Decapoda Macrura, the author determined to study the received Stomatopoda, considering that, besides these samples, the collections of the Instituto Paulista de Oceanografia possessed several specimens of the littoral of the State of S. Paulo and of the coast of the State of Espirito Santo. Respecting our knowledge about the specimens of the littoral region, South America surely occupy but a place of little importance in the range shown substancial researches in that matter, the Atlantic region is considered as one of the most neglected. In this previous note we are considering, therefore, nine species found by several authors along the Brazilian coast. From these ones, four could be identified in the collections of the Institute. The author refers to them, giving an explaining sketch of the essential parts of each of them. Thus, the author hopes to have given a contribution, at this rate, to the investigation of one of the groups of the Arthropoda Phylum, less studied in Brazil.