Axonophora is an extinct suborder of graptolites. It primarily consists of the biserial graptolites, and also includes the retiolitids and monograptids.^[1]

Taxonomy of Axonophora from Maletz (2014):^[2]

• Infraorder †Diplograptina Lapworth, 1880e
  • Family †Diplograptidae Lapworth, 1873b
    • Subfamily †Diplograptinae Lapworth, 1873b
    • Subfamily †Orthograptinae Mitchell, 1987
  • Family †Lasiograptidae Lapworth, 1880e
  • Family †Climacograptidae Frech, 1897
  • Family †Dicranograptidae Lapworth, 1873b
    • Subfamily †Dicranograptinae Lapworth, 1873b
    • Subfamily †Nemagraptinae Lapworth, 1873
• Infraorder †Neograptina Štorch et al., 2011
  • (Unranked)
    • Family †Normalograptidae Štorch & Serpagli, 1993
    • Family †Neodiplograptidae Melchin et al., 2011
      • Subfamily †Neodiplograptinae Melchin et al. 2011
      • Subfamily †Petalolithinae Bulman, 1955
  • Superfamily †Retiolitoidea Lapworth, 1873b
    • Family †Retiolitidae Lapworth, 1873b (retiolitids)
      • Subfamily †Retiolitinae Lapworth, 1873
      • Subfamily †Plectograptinae Bouček & Münch, 1952
  • Superfamily †Monograptoidea Lapworth, 1873
    • Family †Dimorphograptidae Elles & Wood, 1908
    • Family †Monograptidae Lapworth, 1873b (monograptids; possibly several subfamilies)