| Hypopterygium acuminatum Dixon | Synonym |  | TRO |  | 
	
		| Hypopterygium adstringens Schltdl. | Synonym |  | WCSP (in review) |  | 
	
		| Hypopterygium apiculatum Thwaites & Mitt. | Synonym |  | TRO |  | 
	
		| Hypopterygium arbuscula Brid. | Accepted |  | TRO |  | 
	
		| Hypopterygium arbusculosum Besch. | Synonym |  | TRO |  | 
	
		| Hypopterygium arcuatum (Hedw.) Müll. Hal. | Accepted |  | TRO |  | 
	
		| Hypopterygium argentinicum Lorentz ex Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium aristatum Bosch & Sande Lac. | Synonym |  | TRO |  | 
	
		| Hypopterygium atrotheca Dixon | Synonym |  | TRO |  | 
	
		| Hypopterygium balantii (Kindb.) Müll. Hal. ex Loeske | Accepted |  | TRO |  | 
	
		| Hypopterygium bolivianum Herzog | Synonym |  | TRO |  | 
	
		| Hypopterygium bonatii Thér. | Synonym |  | TRO |  | 
	
		| Hypopterygium borneense Broth. | Synonym |  | TRO |  | 
	
		| Hypopterygium bouvetii Besch. | Synonym |  | TRO |  | 
	
		| Hypopterygium bowiei Broth. & Watts | Synonym |  | TRO |  | 
	
		| Hypopterygium brasiliense Sull. | Synonym |  | TRO |  | 
	
		| Hypopterygium brevifolium Broth. | Synonym |  | TRO |  | 
	
		| Hypopterygium campenonii Renauld & Cardot | Synonym |  | TRO |  | 
	
		| Hypopterygium canadense Kindb. | Synonym |  | TRO |  | 
	
		| Hypopterygium ceylanicum Mitt. | Synonym |  | TRO |  | 
	
		| Hypopterygium chamaedrys Bosch & Sande Lac. | Synonym |  | TRO |  | 
	
		| Hypopterygium ciliatum (Hedw.) Brid. | Accepted |  | TRO |  | 
	
		| Hypopterygium colensoi Paris | Synonym |  | TRO |  | 
	
		| Hypopterygium commutatum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium concinnum (Hook.) Brid. | Accepted |  | TRO |  | 
	
		| Hypopterygium congoanum Dixon & Thér. | Synonym |  | TRO |  | 
	
		| Hypopterygium convolutaceum Müll. Hal. | Accepted |  | TRO |  | 
	
		| Hypopterygium daymannianum Broth. & Geh. | Synonym |  | TRO |  | 
	
		| Hypopterygium debile Reichardt | Synonym |  | TRO |  | 
	
		| Hypopterygium decolyi Broth. ex M. Fleisch. | Synonym |  | TRO |  | 
	
		| Hypopterygium delicatulum Broth. | Synonym |  | TRO |  | 
	
		| Hypopterygium didictyon Müll. Hal. | Accepted |  | TRO |  | 
	
		| Hypopterygium discolor Mitt. | Accepted |  | TRO |  | 
	
		| Hypopterygium elatum Tixier | Accepted |  | TRO |  | 
	
		| Hypopterygium elegantulum Colenso | Synonym |  | TRO |  | 
	
		| Hypopterygium falcatum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium fauriei Besch. | Synonym |  | TRO |  | 
	
		| Hypopterygium fauriei subsp. solmsianum Kindb. | Synonym |  | TRO |  | 
	
		| Hypopterygium filiculaeforme (Hedw.) Brid. | Accepted |  | TRO |  | 
	
		| Hypopterygium flaccidum Mitt. | Synonym |  | TRO |  | 
	
		| Hypopterygium flavescens Hampe | Synonym |  | TRO |  | 
	
		| Hypopterygium flavolimbatum Müll. Hal. | Accepted |  | TRO |  | 
	
		| Hypopterygium formosanum Nog. | Synonym |  | TRO |  | 
	
		| Hypopterygium francii Thér. | Synonym |  | TRO |  | 
	
		| Hypopterygium glaucum Sull. | Synonym |  | TRO |  | 
	
		| Hypopterygium grandi-stipulaceum Renauld & Cardot | Synonym |  | TRO |  | 
	
		| Hypopterygium hemiloma Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium hildebrandtii (Kindb.) Müll. Hal. ex Paris | Accepted |  | TRO |  | 
	
		| Hypopterygium hillii Colenso | Synonym |  | TRO |  | 
	
		| Hypopterygium hookerianum (Griff.) A.J. Shaw, I. Holz, C. J. Cox & Goffinet | Accepted |  | TRO |  | 
	
		| Hypopterygium humile Mitt. ex Bosch & Sande Lac. | Synonym |  | TRO |  | 
	
		| Hypopterygium immigrans Lett | Synonym |  | TRO |  | 
	
		| Hypopterygium incrassatolimbatum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium japonicum Mitt. | Synonym |  | TRO |  | 
	
		| Hypopterygium javanicum (Hampe) A. Jaeger | Accepted |  | TRO |  | 
	
		| Hypopterygium jungermanioides Müll. Hal. ex Kindb. | Synonym |  | TRO |  | 
	
		| Hypopterygium kaernbachii Broth. | Synonym |  | TRO |  | 
	
		| Hypopterygium laricinum (Hook.) Brid. | Synonym |  | TRO |  | 
	
		| Hypopterygium lehmannii Besch. | Synonym |  | TRO |  | 
	
		| Hypopterygium levieri Broth. ex Kindb. | Synonym |  | TRO |  | 
	
		| Hypopterygium limbatulum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium lutescens Hornsch. | Accepted |  | TRO |  | 
	
		| Hypopterygium macrorhynchum Ångström | Synonym |  | TRO |  | 
	
		| Hypopterygium marginatum Colenso | Synonym |  | TRO |  | 
	
		| Hypopterygium mauritianum Hampe | Synonym |  | TRO |  | 
	
		| Hypopterygium mauritianum var. nanum Besch. | Synonym |  | TRO |  | 
	
		| Hypopterygium micholitzii Paris | Synonym |  | TRO |  | 
	
		| Hypopterygium mildbraedii Broth. | Synonym |  | TRO |  | 
	
		| Hypopterygium monoicum Hampe | Synonym |  | TRO |  | 
	
		| Hypopterygium muelleri Hampe | Synonym |  | TRO |  | 
	
		| Hypopterygium nadeaudianum Besch. | Synonym |  | TRO |  | 
	
		| Hypopterygium nazeense Thér. | Synonym |  | TRO |  | 
	
		| Hypopterygium nematosum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium neo-caledonicum Besch. | Synonym |  | TRO |  | 
	
		| Hypopterygium nivale Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium novae-guineae E.B. Bartram | Synonym |  | TRO |  | 
	
		| Hypopterygium novae-seelandiae Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium novae-seelandiae var. chilensis Lorentz | Synonym |  | TRO |  | 
	
		| Hypopterygium novae-seelandiae var. nudicaule Dixon | Synonym |  | TRO |  | 
	
		| Hypopterygium novae-seelandiae subsp. viridulum Kindb. | Synonym |  | TRO |  | 
	
		| Hypopterygium oceanicum Mitt. | Synonym |  | TRO |  | 
	
		| Hypopterygium pachyneuron Colenso | Synonym |  | TRO |  | 
	
		| Hypopterygium pallens (Hook. f. & Wilson) Mitt. | Accepted |  | TRO |  | 
	
		| Hypopterygium pallidisetum Wilson | Synonym |  | TRO |  | 
	
		| Hypopterygium paradoxum Broth. | Synonym |  | TRO |  | 
	
		| Hypopterygium parvifolium (Bosch & Sande Lac.) A.J. Shaw, I. Holz, C. J. Cox & Goffinet | Accepted |  | TRO |  | 
	
		| Hypopterygium parvulum Broth. & Paris | Synonym |  | TRO |  | 
	
		| Hypopterygium pennaeforme (Thunb. ex Brid.) Brid. | Synonym |  | TRO |  | 
	
		| Hypopterygium pernanum Müll. Hal. ex Kindb. | Synonym |  | TRO |  | 
	
		| Hypopterygium pinnatum (Hampe) A. Jaeger | Accepted |  | TRO |  | 
	
		| Hypopterygium pirottae Brizi | Synonym |  | TRO |  | 
	
		| Hypopterygium planatum Hampe | Synonym |  | TRO |  | 
	
		| Hypopterygium plumarium Mitt. | Synonym |  | TRO |  | 
	
		| Hypopterygium polythrix Dixon | Synonym |  | TRO |  | 
	
		| Hypopterygium pseudotamarisci Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium pugiunculum Bosw. | Synonym |  | TRO |  | 
	
		| Hypopterygium pygmaeum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium rigidulum Mitt. | Synonym |  | TRO |  | 
	
		| Hypopterygium rigidulum subsp. balantii Kindb. | Synonym |  | TRO |  | 
	
		| Hypopterygium rotulatum (Hedw.) Brid. | Accepted |  | TRO |  | 
	
		| Hypopterygium rotulatum var. incurvum Brid. | Synonym |  | TRO |  | 
	
		| Hypopterygium rotundo-stipulatum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium sandwicense Broth. | Accepted |  | TRO |  | 
	
		| Hypopterygium sasaokae Dixon | Synonym |  | TRO |  | 
	
		| Hypopterygium schmidii Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium scottiae Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium scottiae subsp. denticulatum Kindb. | Synonym |  | TRO |  | 
	
		| Hypopterygium scutellatum (Taylor) Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium semimarginatulum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium setigerum Wilson | Unresolved |  | TRO |  | 
	
		| Hypopterygium sinicum Mitt. | Synonym |  | TRO |  | 
	
		| Hypopterygium smithianum Hook. f. & Wilson | Synonym |  | TRO |  | 
	
		| Hypopterygium smithianum var. minus Wilson | Synonym |  | TRO |  | 
	
		| Hypopterygium speciosum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium spectabile (Reinw. & Hornsch.) Müll. Hal. | Accepted |  | TRO |  | 
	
		| Hypopterygium sphaerocarpum Renauld | Synonym |  | TRO |  | 
	
		| Hypopterygium squarrulosum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium strumiferum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium struthiopteris (Brid.) Brid. | Accepted |  | TRO |  | 
	
		| Hypopterygium struthiopteris subsp. semimarginatulum (Müll. Hal.) Kindb. | Synonym |  | TRO |  | 
	
		| Hypopterygium subhumile Renauld & Cardot | Synonym |  | TRO |  | 
	
		| Hypopterygium subtrichocladon Broth. | Synonym |  | TRO |  | 
	
		| Hypopterygium sylvaticum Mitt. | Synonym |  | TRO |  | 
	
		| Hypopterygium tahitense Ångström | Synonym |  | TRO |  | 
	
		| Hypopterygium tamarisci (Sw.) Brid. ex Müll. Hal. | Accepted |  | TRO |  | 
	
		| Hypopterygium tamarisci subsp. hildebrandtii Kindb. | Synonym |  | TRO |  | 
	
		| Hypopterygium tamariscinum (Hedw.) Brid. | Accepted |  | TRO |  | 
	
		| Hypopterygium tasmanicum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium tenellum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium thouinii (Schwägr.) Mont. | Accepted |  | TRO |  | 
	
		| Hypopterygium tibetanum Mitt. | Synonym |  | TRO |  | 
	
		| Hypopterygium tomentosum (Hedw.) Müll. Hal. | Accepted |  | TRO |  | 
	
		| Hypopterygium torulosum Schimp. | Synonym |  | TRO |  | 
	
		| Hypopterygium torulosum var. kameruniae Broth. | Synonym |  | TRO |  | 
	
		| Hypopterygium trichocladon Bosch & Sande Lac. | Synonym |  | TRO |  | 
	
		| Hypopterygium trichocladulum Besch. | Synonym |  | TRO |  | 
	
		| Hypopterygium uliginosum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium usambaricum Broth. | Synonym |  | TRO |  | 
	
		| Hypopterygium vietnamicum Pocs | Synonym |  | TRO |  | 
	
		| Hypopterygium viridissimum Müll. Hal. | Synonym |  | TRO |  | 
	
		| Hypopterygium viridulum Mitt. | Accepted |  | TRO |  | 
	
		| Hypopterygium vriesei Bosch & Sande Lac. | Accepted |  | TRO |  | 
	
		| Hypopterygium vulcanicum Colenso | Synonym |  | TRO |  | 
	
		| Hypopterygium wolffhuegelii Herzog | Synonym |  | TRO |  |