Suborder SciurognathiInfraorder Protrogomorpha (=Aplodontomorpha)Suborder HystricognathiFam. Aplodontidae (Mountain beaver, 1 genus, 1 sp.)Infraorder SciuromorphaFam. Sciuridae (Squirrels; 50 genera, 273 sp.)Infraorder MyomorphaFam. Castoridae (Beavers, 1 genus, 2 sp.)
Fam. Geomyidae (Pocket gophers, 5 genera, 35 species)
Fam. Heteromyidae (Kangarooo rats and mice, 6 genera, 59 sp.)
Fam. Dipodidae (Jerboas, jumping mice, Birch mice; 15 genera. 51 sp.)(Infraorder Anomaluromorpha)Fam. Muridae (Mice and rats, 281 genera, 1325 sp.)
Fam. Anomaluridae (Scaly tailed flying squirrels, 3 genera, 7 sp.)(Infraorder Pedetomorpha)Fam. Pedetidae (Spring Hare, 1 genus, 1 sp.)(Infraorder Ctenodactylomorpha)Fam. Ctenodactylidae (Gundis, 4 genera, 5 sp.)(Infraorder Gliriomorpha)Fam. Myoxidae (Dormice, 8 genera, 26 sp.)Infraorder Hystricomorpha or Phiomorpha (Old World Hystricognathi)Fam. Bathyergidae (Mole rats, 5 genera, 12 sp.)Infraorder Caviomorpha (New World Hystricognathi)Fam. Hystricidae (Old World porcupines, 3 genera, 11 sp.)
Fam. Petromuridae (Dassie rats, 1 genus, 1 sp.)
Fam. Thryonomyidae (Cane rats or Grasscutters, 1 genus, 2 sp.)
Fam. Erethizontidae (New World porcupines, 4 genera, 12 sp.)Fam. Chinchillidae (Chinchillas and Viscachas)
Fam. Dinomyidae (Pacaranas, 1 genus, 1 species)
Fam. Caviidae (Guinea pigs, maras, 5 genera, 14 sp.)
Fam. Hydrochaeridae (Capybara, 1 genus, 1 sp.)
Fam. Dasyproctidae (Agoutis, 2 genera, 13 sp.)
Fam. Agoutidae (Pacas, 1 genus, 1 sp.)
Fam. Ctenomyidae (Tuco tuco, 1 genus, 38 sp.)
Fam. Octodontidae (Degus, 6 genera, 9 sp.)
Fam. Abrocomidae (Chinchilla rats, 1 genus, 2 sp.)
Fam. Echimyidae (Spiny rats, 20 genera, 78 sp.)
Fam. Capromyidae (Hutias, 8 genera, 20 sp.)
Fam. Heptaxodontidae (recently extinct West Indian family)
Fam. Myocastoridae (Nutrias, 1 genus, 1 species)