• Triconia Böttger-Schnack, 1999
• Triconia anglica (Brady, 1905)
• Triconia antarctica (Heron, 1977)
• Triconia borealis (G.O. Sars, 1918)
• Triconia canadensis (Heron & Frost, 2000)
• Triconia conifera (Giesbrecht, 1891)
• Triconia constricta Wi, Böttger-Schnack & Soh, 2012
• Triconia denticula Wi, Shin & Soh, 2011
• Triconia dentipes (Giesbrecht, 1891)
• Triconia derivata (Heron & Bradford-Grieve, 1995)
• Triconia elongata Böttger-Schnack, 1999
• Triconia furcula (Farran, 1936)
• Triconia giesbrechti Böttger-Schnack, 1999
• Triconia gonopleura Böttger-Schnack, 1999
• Triconia hawii (Böttger-Schnack & Boxshall, 1990)
• Triconia hirsuta Wi, Böttger-Schnack & Soh, 2010
• Triconia inflexa (Heron, 1977)
• Triconia minuta (Giesbrecht, 1893)
• Triconia pararedacta Wi, Böttger-Schnack & Soh, 2012
• Triconia parasimilis Böttger-Schnack, 1999
• Triconia quadrata (Heron & Bradford-Grieve, 1995)
• Triconia recta Böttger-Schnack, 1999
• Triconia redacta (Heron & Bradford-Grieve, 1995)
• Triconia rufa (Boxshall & Böttger, 1987)
• Triconia similis (G.O. Sars, 1918)
• Triconia thoresoni (Heron & Frost, 2000)
• Triconia umerus (Böttger-Schnack & Boxshall, 1990)