This paper lists the accepted names and classification of marine fungi, updating the scheme presented in 2009. The classification includes 1,112 species (in 472 genera): Ascomycota 805 (in 352 genera), Basidiomycota 21 species (in 17 genera), Chytridiomycota and related phyla 26 species (in 13 genera), Zygomycota three (in two genera), Blastocladiomycota one species (one genus), asexual morphs of filamentous fungi 43 (in 26 genera); and marine yeasts: Ascomycota 138 species (in 35 genera), Basidiomycota 75 species (in 26 genera). These fungi belong to 129 families and 65 orders. The Halosphaeriaceae remains the largest family of marine fungi with 141 species in 59 genera, while the most specious genera are Aspergillus (47 species), Penicillium (39 species) and the yeast genus Candida (64 species). The review includes details of recent higher order nomenclature changes, and accounts of new families, genera and species described over the past 5 years.