haddock [UK and USA] – synonym of Melanogrammus aeglefinus
hagfish [UK and USA] – synonym of Myxine glutinosa
hairfin smooth-head [UK and USA] – synonym of Talismania homoptera
hairtail [UK and USA] – synonym of Trichiurus lepturus
Hairy Fanfin [UK and USA] – synonym of Caulophryne polynema
hake [UK and USA] – synonym of Merluccius merluccius
halfbeak [UK and USA] – synonym of Hemiramphus far
halfbeak [UK and USA] – synonym of Hyporhamphus picarti
halibut [UK and USA] – synonym of Hippoglossus hippoglossus
halibut [UK and USA] – synonym of Hippoglossus hippoglossus
hallouf bahr [Tunesia, Algeria, Morocco] – synonym of Balistes carolinensis
hameçon [France and Belgium] – synonym of Artediellus scaber
hamecon [UK and USA] – synonym of Artediellus scaber
hancha [Tunesia, Algeria, Morocco] – synonym of Anguilla anguilla
hareng commun [France and Belgium] – synonym of Clupea harengus
hareng [France and Belgium] – synonym of Clupea harengus
haring [Netherlands and Belgium] – synonym of Clupea harengus
haringhaai [Netherlands and Belgium] – synonym of Lamna nasus
harnasmannetje [Netherlands and Belgium] – synonym of Agonus cataphractus
has in this writer's opinion little merit or historical precedence other than Goode's comment in 1884 that B. brama was called ' – synonym of Brama brama
haskefal [former Yugoslavia] – synonym of Mugil cephalus
heek [Netherlands and Belgium] – synonym of Merluccius merluccius
heilbot [Netherlands and Belgium] – synonym of Hippoglossus hippoglossus
Hempel's whalefish [UK and USA] – synonym of Cetomimus hempeli
hen-fish [UK and USA] – synonym of Cyclopterus lumpus
herring [UK and USA] – synonym of Clupea harengus
Herwigia kreffti Nielsen and Larsen, 1970 – synonym of Herwigia kreffti
Herwigia kreffti: Krefft, 1978. – synonym of Herwigia kreffti
Himantolophus albinares: Maul, 1962, 8-11, fig. 1-2 (description of small specimen). – synonym of Himantolophus albinares
hinac [former Yugoslavia] – synonym of Symphodus doderleini
hippocampe à museau court [France and Belgium] – synonym of Hippocampus hippocampus
hippocampe mouchete [France and Belgium] – synonym of Hippocampus ramulosus
hirondelle [France and Belgium] – synonym of Dactylopterus volitans
Hist. Nat. Poiss., 4: 670, pl. 14 (fig. 2). No type material. – synonym of Raja undulata
Holbîche cyrano [France and Belgium] – synonym of Apristurus nasutus
Holbîche fantôme [France and Belgium] – synonym of Apristurus manis
Holbîche porc [France and Belgium] – synonym of Apristurus microps
Holocentre rouge [France and Belgium] – synonym of Sargocentron hastatus
holocentre rouge [France and Belgium] – synonym of Sargocentron rubrum
Holotype: USNM no. 170953. – synonym of Stomias boa
Holotype: USNM no. 33558. – synonym of Cryptopsaras couesi
Holtbyrnia (Krefftia) macrops: Geistdoerfer et al., 1971b: 1178. – synonym of Holtbyrnia macrops
hondshaai [Netherlands and Belgium] – synonym of Scyliorhinus canicula
hookhorn sculpin [UK and USA] – synonym of Artediellus atlanticus
hookhorn sculpin [UK and USA] – synonym of Artediellus uncinatus
hooknose [UK and USA] – synonym of Agonus cataphractus
horse mackerel [UK and USA] – synonym of Trachurus mediterraneus
horse mackerel [UK and USA] – synonym of Trachurus trachurus
horse-eye Jack [UK and USA] – synonym of Caranx latus
horsmakreel [Netherlands and Belgium] – synonym of Trachurus trachurus
hout kmar [Tunesia, Algeria, Morocco] – synonym of Mola mola
houting [Netherlands and Belgium] – synonym of Coregonus lavaretus
houting [UK and USA] – synonym of Coregonus lavaretus
Hubbs' pearleye [UK and USA] – synonym of Rosenblattichthys hubbsi
Humantin [France and Belgium] – synonym of Oxynotus paradoxus
humpback or pink salmon [UK and USA] – synonym of Oncorhynchus gorbuscha