Conasprella guyanensis (J.J. Van Mol, 1973)
Conus gyratus (FOSSIL) Morton, 1834 †
Phasmoconus habui (T.C. Lan, 2002)
Nitidoconus hamamotoi (S. Yoshiba & Y. Koyama,1984)
Leptoconus hamanni Fainzilber & H.K. Mienis,1986
Conus hamiltonensis (FOSSIL) R. Tate, 1890 †
Rolaniconus hanshassi (F.Jr. Lorenz& J.P. Barbier, 2012)
Leptoconus hanza (FOSSIL) Noetling, 1901 †
Purpuriconus harasewychi (E.J. Petuch, 1987)
Lithoconus hardi (FOSSIL) Martin, 1879 †
Tenorioconus harlandi (E.J. Petuch, 1987)
Conus harveyensis (FOSSIL) W.C. Mansfield, 1930 †
Conus haueri (FOSSIL) Hoernes, 1851 †
Chelyconus haughtoni (FOSSIL) King, 1953 †
Purpuriconus havanensis (C.G. Aguayo& I. Pérez Farfante, 1947)
Conus hayesi (FOSSIL) Arnold, 1909 †
Pyruconus haytensis (FOSSIL) (G.B. II Sowerby, 1850 †)
Conasprelloides hazinorum E.J. Petuch & B.W. Myers,2014
Asprella helgae (M. Blöcher, 1992)
Conus helveticus (FOSSIL) Mayer, 1877 †
Conasprella henckesi (J. Coltro, 2004)
Conus hendersoni (FOSSIL) J. Marwick, 1931 †
Purpuriconus hennequini (E.J. Petuch, 1993)
Profundiconus hennigi (FOSSIL) J.R. Hendricks, 2015 †
Conasprella henriquei (E.J. Petuch & B.W. Myers,2014)
Conus herklotsi (FOSSIL) Martin, 1879 †
Conasprella herndli (E.J. Petuch & B.W. Myers,2014)
Conus hertwecki (FOSSIL) E.J. Petuch, 1988 †
Conus heterospira (FOSSIL) R. Tate, 1890 †
Arubaconus hieroglyphus (P.L. Duclos, 1833)
Conus highgatensis (FOSSIL) T. Brown, 1838 †
Purpuriconus hilli (E.J. Petuch, 1990)
Continuconus hirasei (J.T. Kuroda, 1956)
Leptoconus hirmetzli (FOSSIL) Kovács & Vicián, 2013 †
Rolaniconus hivanus (R.G. Moolenbeek, A. Zandbergen& P. Bouchet, 2008)