Achnanthes longipes f. minor Cleve, 1878 (original description)
Actinocyclus tenuissimus var. tenuissimus Cleve, 1878 (original description)
Alloioneis J. Schumann ex P.T. Cleve, 1878 (original description)
Alloioneis antillarum Cleve & Grunow in Cleve, 1878 (original description)
Alloioneis curvinervia (Grunow in Cleve) Cleve, 1878 accepted as
Navicula curvinervia Grunow in Cleve, 1878 (new combination reference)
Alloioneis gruendleri var. gruendleri Cleve & Grunow in Cleve, 1878 (original description)
Alloioneis kurzii Grunow in Cleve, 1878 (original description)
Amphitrite complexa (Gregory) Kuntze accepted as
Amphiprora complexa Gregory, 1857 (new combination reference)
Biddulphia bicorne Cleve, 1878 (original description)
Biddulphia bicornis Cleve, 1878 (original description)
Biddulphia membranacea Cleve, 1878 (original description)
Brebissonia weissflogii Grunow, 1878 (original description)
Denticula antillarum Cleve, 1878 (original description)
Dimeregramma surirella (Ehrenberg) Ralfs in Pritchard, 1861 accepted as
Fragilaria Surirella Ehrenberg, 1854 (new combination reference)
Navicula bartholomei Cleve, 1878 (original description)
Navicula caribaea Cleve in A. Schmidt et al., 1874 accepted as
Lyrella clavata var. caribea (Cleve) Siqueiros Beltrones in Siqueiros Beltrones et al., 2020 (additional source)
Navicula curvinervia Grunow in Cleve, 1878 (original description)
Navicula formicina Grunow in Cleve, 1878 (original description)
Navicula goesii Cleve, 1878 (original description)
Navicula kurzii Grunow in Cleve, 1878 (original description)
Navicula lobata Cleve, 1878 (original description)
Navicula lyra var. approximata (Greville) Cleve, 1878 accepted as
Navicula approximata f. approximata Greville, 1859 (new combination reference)
Navicula rectangulata var. regula Grunow & Cleve in Cleve, 1878 (original description)
Navicula regula var. regula Grunow & Cleve in Cleve, 1878 (original description)
Navicula sanctithomae Cleve, 1878 (original description)
Navicula st. thomae Cleve, 1878 (original description)
Navicula virginea Cleve, 1878 (original description)
Nitzschia acuta Cleve, 1878 (original description)
Nitzschia curvirostris var. curvirostris Cleve, 1878 (original description)
Nitzschia graeffii var. graeffii Grunow in Cleve, 1878 (original description)
Nitzschia gruendleri f. gruendleri Grunow in Cleve, 1878 (original description)
Nitzschia jelineckii var. acuta Cleve, 1878 (original description)
Nitzschia longissima var. curvirostris Cleve, 1878 (original description)
Nitzschia longissima var. ventricosa Cleve, 1878 (original description)
Nitzschia valida Cleve & Grunow, 1878 (original description)
Nitzschia weissflogii var. interrupta Cleve, 1878 (original description)
Nitzschia weissflogii var. sparsa Cleve, 1878 (original description)
Nitzschia weissflogii var. subglabra Cleve, 1878 (original description)
Nitzschia weissflogii var. weissflogii Grunow in Cleve, 1878 (original description)
Perrya gruendleri Grunow in Cleve, 1878 (original description)
Plagiogramma antillarum Cleve, 1878 (original description)
Plagiogramma attenuatum Cleve, 1878 (original description)
Plagiogramma caribaeum f. caribaeum Cleve, 1878 (original description)
Rhoicosigma antillarum Cleve, 1878 (original description)
Surirella fastuosa var. recedens (Schmidt in Schmidt et al.) Cleve, 1878 accepted as
Surirella recedens var. recedens Schmidt in Schmidt et al., 1875 (new combination reference)
Triceratium antillarum var. antillarum Cleve, 1878 (original description)
Triceratium bicorne Cleve, 1878 † accepted as
Pseudictyota bicorne (Cleve) P.A. Sims & D. M. Williams in Sims et al., 2018 † (original description)
Triceratium campechianum Grunow in Cleve, 1878 (original description)
Triceratium cruciatum (Janisch & Rabenhorst) Cleve, 1878 accepted as
Amphitetras cruciata Janisch & Rabenhorst, 1863 (new combination reference)
Tryblionella granulata (Grunow) D.G.Mann, 1990 accepted as
Nitzschia granulata f. granulata Grunow in Cleve & Möller, 1879 (original description)
Tryblionella lanceola Grunow, 1878 (original description)