| Order | Family | Species | Occurrence | FishBase name | Name in Country |
|---|---|---|---|---|---|
| Perciformes/Cottoidei | Agonidae | Agonus cataphractus | native | Hooknose | Brynjukrutt |
| Aulopiformes | Alepisauridae | Alepisaurus ferox | native | Long snouted lancetfish | |
| Alepocephaliformes | Alepocephalidae | Alepocephalus bairdii | native | Baird's slickhead | Slætthøvd |
| Lamniformes | Alopiidae | Alopias vulpinus | native | Thresher | Revaháur |
| Clupeiformes | Alosidae | Alosa fallax | native | Twaite shad | Stavsild |
| Rajiformes | Rajidae | Amblyraja hyperborea | native | Arctic skate | Ishavsskøta |
| Rajiformes | Rajidae | Amblyraja radiata | native | Starry ray | Tindaskøta |
| Perciformes/Uranoscopoidei | Ammodytidae | Ammodytes marinus | native | Lesser sand-eel | Havnebbasild |
| Perciformes/Uranoscopoidei | Ammodytidae | Ammodytes tobianus | native | Small sandeel | Nebbasild |
| Perciformes/Zoarcoidei | Anarhichadidae | Anarhichas denticulatus | native | Northern wolffish | Blágóma |
| Perciformes/Zoarcoidei | Anarhichadidae | Anarhichas lupus | native | Atlantic wolffish | Steinbítur |
| Perciformes/Zoarcoidei | Anarhichadidae | Anarhichas minor | native | Spotted wolffish | Liri |
| Anguilliformes | Anguillidae | Anguilla anguilla | native | European eel | Állur |
| Scombriformes | Trichiuridae | Aphanopus carbo | native | Black scabbardfish | Stinglaksur |
| Aulopiformes | Paralepididae | Arctozenus risso | native | Spotted barracudina | Lítla lakstobis |
| Argentiniformes | Argentinidae | Argentina silus | native | Greater argentine | Gulllaksur |
| Argentiniformes | Argentinidae | Argentina sphyraena | native | Argentine | Streymsild |
| Perciformes/Cottoidei | Cottidae | Artediellus atlanticus | native | Atlantic hookear sculpin | |
| Argentiniformes | Bathylagidae | Bathylagus euryops | native | Goiter blacksmelt | |
| Rajiformes | Arhynchobatidae | Bathyraja spinicauda | native | Spinytail skate | Halahvassa skøta |
| Myctophiformes | Myctophidae | Benthosema glaciale | native | Glacier lantern fish | Lítli prikkafiskur |
| Beryciformes | Berycidae | Beryx decadactylus | native | Alfonsino | Reyðserkur |
| Gadiformes | Lotidae | Brosme brosme | native | Cusk | Brosma |
| Callionymiformes | Callionymidae | Callionymus lyra | native | Dragonet | Floyfiskur |
| Perciformes/Cottoidei | Liparidae | Careproctus micropus | native | ||
| Perciformes/Cottoidei | Liparidae | Careproctus reinhardti | native | Sea tadpole | Íshavs súgfiskur |
| Squaliformes | Centrophoridae | Centrophorus squamosus | native | Leafscale gulper shark | Skrubbhávur |
| Squaliformes | Etmopteridae | Centroscyllium fabricii | native | Black dogfish | Svartháur |
| Squaliformes | Somniosidae | Centroscymnus coelolepis | native | Portuguese dogfish | Glíggjháur |
| Squaliformes | Somniosidae | Centroselachus crepidater | native | Longnose velvet dogfish | Langitrantur |
| Lamniformes | Cetorhinidae | Cetorhinus maximus | native | Basking shark | Brugda |
| Chimaeriformes | Chimaeridae | Chimaera monstrosa | native | Rabbit fish | Havmús |
| Perciformes/Zoarcoidei | Stichaeidae | Chirolophis ascanii | native | Yarrell's blenny | |
| Gadiformes | Gaidropsaridae | Ciliata mustela | native | Fivebeard rockling | Hornabrosma |
| Gadiformes | Gaidropsaridae | Ciliata septentrionalis | native | Northern rockling | Íshavs hornabrosma |
| Clupeiformes | Clupeidae | Clupea harengus | native | Atlantic herring | Sild |
| Gadiformes | Macrouridae | Coryphaenoides rupestris | native | Roundnose grenadier | Kubbuta langasporl |
| Perciformes/Cottoidei | Psychrolutidae | Cottunculus microps | native | Polar sculpin | Kryttlingur |
| Squaliformes | Centrophoridae | Deania calceus | native | Birdbeak dogfish | Nevháur |
| Gobiesociformes | Gobiesocidae | Diplecogaster bimaculata | native | Two-spotted clingfish | Tvíblettuti súgari |
| Rajiformes | Rajidae | Dipturus batis | native | Blue skate | Skøta |
| Rajiformes | Rajidae | Dipturus oxyrinchus | native | Longnosed skate | Spískaskøta |
| Syngnathiformes | Syngnathidae | Entelurus aequoreus | native | Snake pipefish | Sjóprónur |
| Acropomatiformes | Epigonidae | Epigonus telescopus | native | Black cardinal fish | Kikarafiskur |
| Squaliformes | Etmopteridae | Etmopterus princeps | native | Great lanternshark | Collett's búksvarti háur |
| Squaliformes | Etmopteridae | Etmopterus spinax | native | Velvet belly | Búksvarti háur |
| Saccopharyngiformes | Eurypharyngidae | Eurypharynx pelecanoides | native | Pelican eel | |
| Gadiformes | Gadidae | Gadus morhua | native | Atlantic cod | Toskur |
| Gadiformes | Gaidropsaridae | Gaidropsarus argentatus | native | Arctic rockling | Reyða hornabrosma |
| Gadiformes | Gaidropsaridae | Gaidropsarus macrophthalmus | native | Bigeye rockling | |
| Gadiformes | Gaidropsaridae | Gaidropsarus vulgaris | native | Three-bearded rockling | Tríhyrnta hornabrosma |
| Carcharhiniformes | Triakidae | Galeorhinus galeus | native | Tope shark | Gráhávur |
| Carcharhiniformes | Pentanchidae | Galeus melastomus | native | Blackmouth catshark | Kjaftsvarti háur |
| Carcharhiniformes | Pentanchidae | Galeus murinus | native | Mouse catshark | |
| Pleuronectiformes | Pleuronectidae | Glyptocephalus cynoglossus | native | Witch flounder | Lálla |
| Gadiformes | Moridae | Halargyreus johnsonii | native | Slender codling | Silvurprónur |
| Chimaeriformes | Rhinochimaeridae | Harriotta raleighana | native | Pacific longnose chimaera | Nevhavmús |
| Hexanchiformes | Hexanchidae | Hexanchus griseus | native | Bluntnose sixgill shark | Sekstáknuhávur |
| Pleuronectiformes | Pleuronectidae | Hippoglossus hippoglossus | native | Atlantic halibut | Kalvi |
| Trachichthyiformes | Trachichthyidae | Hoplostethus atlanticus | native | Orange roughy | Búrfiskur |
| Chimaeriformes | Chimaeridae | Hydrolagus mirabilis | native | Large-eyed rabbitfish | Fjaðurfagra havmús |
| Lamniformes | Lamnidae | Lamna nasus | native | Porbeagle | Hemari |
| Myctophiformes | Myctophidae | Lampanyctus macdonaldi | native | Rakery beaconlamp | |
| Lampriformes | Lampridae | Lampris guttatus | native | Opah | Laksastyrja |
| Ophidiiformes | Ophidiidae | Lamprogrammus shcherbachevi | native | Scaleline cusk | |
| Gobiiformes | Gobiidae | Lebetus scorpioides | native | Diminutive goby | Háfjaðraði stubbi |
| Gadiformes | Moridae | Lepidion eques | native | North Atlantic codling | |
| Rajiformes | Rajidae | Leucoraja circularis | native | Sandy ray | Sandskøta |
| Rajiformes | Rajidae | Leucoraja fullonica | native | Shagreen ray | Nebbaskøta |
| Pleuronectiformes | Pleuronectidae | Limanda limanda | native | Common dab | Skrubba |
| Perciformes/Cottoidei | Liparidae | Liparis liparis | native | Striped seasnail | Stóri súgfiskur |
| Perciformes/Cottoidei | Liparidae | Liparis montagui | native | Montagus seasnail | Lítli súgfiskur |
| Lophiiformes | Lophiidae | Lophius budegassa | native | Blackbellied angler | |
| Perciformes/Zoarcoidei | Lumpenidae | Lumpenus lampretaeformis | native | Snakeblenny | Longubróðir |
| Perciformes/Zoarcoidei | Zoarcidae | Lycodes esmarkii | native | Greater eelpout | Úlvfiskur |
| Perciformes/Zoarcoidei | Zoarcidae | Lycodes luetkenii | native | Lütken's eelpout | |
| Gadiformes | Macrouridae | Macrourus berglax | native | Roughhead grenadier | Rísna langasporl |
| Aulopiformes | Paralepididae | Magnisudis atlantica | native | Duckbill barracudina | |
| Rajiformes | Rajidae | Malacoraja kreffti | native | Krefft's ray | |
| Rajiformes | Rajidae | Malacoraja spinacidermis | native | Soft skate | |
| Osmeriformes | Osmeridae | Mallotus villosus | native | Capelin | Lodna |
| Stomiiformes | Sternoptychidae | Maurolicus muelleri | native | Silvery lightfish | Laksesild |
| Gadiformes | Gadidae | Melanogrammus aeglefinus | native | Haddock | Hýsa |
| Gadiformes | Gadidae | Merlangius merlangus | native | Whiting | Hvítingur |
| Perciformes/Cottoidei | Cottidae | Micrenophrys lilljeborgii | native | Norway bullhead | Lítlakrutt |
| Gadiformes | Gadidae | Micromesistius poutassou | native | Blue whiting | Svartkjaftur |
| Pleuronectiformes | Pleuronectidae | Microstomus kitt | native | Lemon sole | Tunga |
| Gadiformes | Lotidae | Molva dypterygia | native | Blue ling | |
| Gadiformes | Lotidae | Molva molva | native | Ling | Longa |
| Gadiformes | Moridae | Mora moro | native | Common mora | Morafiskur |
| Myctophiformes | Myctophidae | Myctophum punctatum | native | Spotted lanternfish | |
| Myxiniformes | Myxinidae | Myxine glutinosa | native | Atlantic hagfish | Súgálur |
| Scombriformes | Gempylidae | Nesiarchus nasutus | native | Black gemfish | |
| Gadiformes | Macrouridae | Nezumia aequalis | native | Common Atlantic grenadier | Slætta langasporl |
| Notacanthiformes | Notacanthidae | Notacanthus bonaparte | native | Shortfin spiny eel | |
| Aulopiformes | Paralepididae | Paralepis coregonoides | native | Sharpchin barracudina | Lakstobis |
| Perciformes/Cottoidei | Liparidae | Paraliparis bathybius | native | Black seasnail | Svarti súgfiskur |
| Petromyzontiformes | Petromyzontidae | Petromyzon marinus | native | Sea lamprey | Súgari |
| Gadiformes | Phycidae | Phycis blennoides | native | Greater forkbeard | |
| Pleuronectiformes | Pleuronectidae | Pleuronectes platessa | native | European plaice | Reyðsprøka |
| Gadiformes | Gadidae | Pollachius pollachius | native | Pollack | Lýrur |
| Gadiformes | Gadidae | Pollachius virens | native | Saithe | Upsi |
| Gobiiformes | Gobiidae | Pomatoschistus flavescens | native | Two-spotted goby | Tvíprikkuti stubbi |
| Gobiiformes | Gobiidae | Pomatoschistus minutus | native | Sand goby | Sandstubbi |
| Beryciformes | Melamphaidae | Poromitra nigriceps | native | ||
| Rajiformes | Rajidae | Raja clavata | native | Thornback ray | Naglaskøta |
| Rajiformes | Rajidae | Rajella fyllae | native | Round ray | Klingruskøta |
| Rajiformes | Rajidae | Rajella lintea | native | Sailray | Hvítaskøta |
| Pleuronectiformes | Pleuronectidae | Reinhardtius hippoglossoides | native | Greenland halibut | Svartkalvi |
| Chimaeriformes | Rhinochimaeridae | Rhinochimaera atlantica | native | Straightnose rabbitfish | Tranthavmús |
| Alepocephaliformes | Platytroctidae | Sagamichthys schnakenbecki | native | Schnakenbeck's searsid | Mjáangi |
| Salmoniformes | Salmonidae | Salmo salar | native | Atlantic salmon | Laksur |
| Salmoniformes | Salmonidae | Salvelinus faroensis | native | Faroe charr | |
| Clupeiformes | Alosidae | Sardina pilchardus | native | European pilchard | Sardin |
| Pleuronectiformes | Scophthalmidae | Scophthalmus rhombus | native | Brill | Slætthvoysa |
| Alepocephaliformes | Platytroctidae | Searsia koefoedi | native | Koefoed's searsid | Morri |
| Perciformes/Scorpaenoidei | Sebastidae | Sebastes mentella | native | Beaked redfish | Trantkongafiskur |
| Perciformes/Scorpaenoidei | Sebastidae | Sebastes norvegicus | native | Golden redfish | Stóri kongafiskur |
| Perciformes/Scorpaenoidei | Sebastidae | Sebastes viviparus | native | Norway redfish | Lítli kongafiskur |
| Pleuronectiformes | Soleidae | Solea solea | native | Common sole | Leistur |
| Squaliformes | Somniosidae | Somniosus microcephalus | native | Greenland shark | Hákelling |
| Clupeiformes | Clupeidae | Sprattus sprattus | native | European sprat | Brislingur |
| Squaliformes | Squalidae | Squalus acanthias | native | Picked dogfish | Haúr |
| Stomiiformes | Stomiidae | Stomias ferox | native | ||
| Anguilliformes | Synaphobranchidae | Synaphobranchus kaupii | native | Kaup's arrowtooth eel | Djúpállur |
| Syngnathiformes | Syngnathidae | Syngnathus acus | native | Greater pipefish | Tarasproti |
| Syngnathiformes | Syngnathidae | Syngnathus typhle | native | Broadnosed pipefish | |
| Perciformes/Cottoidei | Cottidae | Taurulus bubalis | native | Longspined bullhead | Grønakrutt |
| Lampriformes | Trachipteridae | Trachipterus arcticus | native | Dealfish | Silvurkalvi |
| Perciformes/Cottoidei | Cottidae | Triglops murrayi | native | Moustache sculpin | |
| Gadiformes | Gadidae | Trisopterus esmarkii | native | Norway pout | Hvítingsbróðir |
| Alepocephaliformes | Alepocephalidae | Xenodermichthys copei | native | Bluntsnout smooth-head | |
| Squaliformes | Somniosidae | Zameus squamulosus | native | Velvet dogfish |