Отряд Спирифериды Order Spiriferida Waagen, 1883. Upper Ordovician–Upper Permian.
В среднем палеозое одиннадцать надсемейств в четырех подотрядах.
Superorder Spiriferidina Waagen, 1883. Upper Ordovician–Upper Permian.
Superfamily Cyrtioidea Frederiks, 1924. Upper Ordovician–Lower Devonian.
Superfamily Adolfioidea Sartenaer, 1966. upper Silurian–Upper Devonian.
Superfamily Theodossioidea Ivanova, 1959. Lower Devonian–Lower Carboniferous, ?Upper Carboniferous.
Superfamily Cyrtospiriferoidea Termier & Termier, 1949. Lower Devonian–Upper Devonian.
Superfamily Ambocoelioidea George, 1931. upper Silurian–Upper Permian.
Superfamily Martinioidea Waagen, 1883. upper Silurian–Upper Permian.
Superfamily Spiriferoidea King, 1846. Upper Devonian–Upper Permian.
Superfamily Brachythyridoidea Frederiks, 1924. Upper Devonian–Upper Permian.
Superfamily Paeckelmanelloidea Ivanova, 1972. Upper Devonian–Upper Permian.
Superorder Delthyridina Ivanova, 1972. lower Silurian–Upper Permian.
Superfamily Delthyridoidea Phillips, 1841. lower Silurian–Middle Devonian.
Superfamily Reticularioidea Waagen, 1883. lower Silurian–Upper Permian.