Light and scanning electron microscopy have been used to examine small planktonic marine dinoflagellates from the N.E. Atlantic area which had previously been referred to Glenodinium danicum Paulsen. New information is given for the thecal tabulation, which is described as: Po, x, 41, 3a, 7", 6c, 47s, 6 "~, 2 t'l. The apical pore is distinctive and its collar continues along the first apical plate, which is depressed. The thecal plates are generally smooth but have a varied arrangement of pores, scattered in short rows or collected in rows parallel to the girdle. In addition, some cells have a concentrated pore field on the second antapical plate which is unlike that recorded from any other dinoflagellate. The species has been redescribed and reclassified into the genus Peridiniella since it shows much more similarity with the type species of that genus than with what is known of Glenodinium. The genus Peridiniella has been classified in the family Cladopyxiaceae of the order Gonyaulacales. New distribution data are given for Peridiniella danica around the British Isles, in the Norwegian Sea, and the N.E. Atlantic. Together with information from the literature, this suggests that the organism has a world-wide distribution in the marine plankton, mainly in cooler waters.