2 families
*Dalodesmidae Cook, 1896
*Vaalogonopodidae Verhoeff, 1940;Leptodesmidea Brölemann, 1916. 13 families:
*Chelodesmoidea Cook, 1895
**Chelodesmidae Cook, 1895
*Platyrhacoidea Pocock, 1895
**Aphelidesmidae