Odontaspididae was named by Müller and Henle (1839). It is extant.

It was corrected as Odontaspidae by Cassier (1966), Herman (1975), Case (1979), Case (1981), Thurmond and Jones (1981), Bendix-Almgreen (1983), Tabuce et al. (2005) and Underwood (2006); it was misspelled as Odontaspidae by Case (1978), Squires (1984), Case and Schwimmer (1988), Long (1992), Biddle (1993), Cvancara and Hoganson (1993), Long and Stilwell (2000), Purdy et al. (2001), Peng et al. (2001), Antunes and Balbino (2003), Compagno (2005), Marsili et al. (2007), Cicimurri and Knight (2009), Szabo et al. (2017) and Kent (2018).

It was assigned to Lamniformes by Cassier (1966); to Odontaspidoidea by Herman (1975); to Orectoloboidei by Case (1978); to Euselachii by Case (1979); to Galeoidea by Thurmond and Jones (1981); to Isuroidei by Case (1981); to Squatinoidei by Case and Schwimmer (1988); to Orectolobiformes by Long (1992); to Chondrichthyes by Purdy et al. (2001); and to Lamniformes by Bendix-Almgreen (1983), Squires (1984), Biddle (1993), Cvancara and Hoganson (1993), Long and Stilwell (2000), Peng et al. (2001), Antunes and Balbino (2003), Compagno (2005), Tabuce et al. (2005), Underwood (2006), Marsili et al. (2007), Cicimurri and Knight (2009), Szabo et al. (2017) and Kent (2018).