(1) Abrocomidae [chinchilla rats, 2 genera, 9 species];

(2) Anomaluridae [scaly-tailed squirrels, 3 genus, 7 species];

(4) Aplodonitiidae [mountain beaver, 1 genera, 1 species];

(5) Bathyergidae [Aftican mole rats, 6 genera, 22 species];

(6) Calomhyscidae [mouse-like hamsters, 1 genera, 8 species];

(7) Capromyidae [hutias, 6 genera, 14 species];

(8) Castoridae [beavers, 1 genera, 2 species];

(9) Caviidae [Guinea pigs and capybara, 6 genera, 19 species];

(10) Chinchillidae [chinchillas and viscachas, 3 genera, 6 species];

(11) Cricetidae [hamsters, voles, New World mice, rats, 112 genera, 580 species];

(12) Ctenodactylidae [grndis, 4 genera, 5 species];

(13) Ctenomidae [tuco-tucos, 1 genera, 60 species];

(14) Cuniculidae [pacas, 1 genera, 3 species];

(15) Dasyproctidae [agoutis and acouchi, 2 genera, 13 species];

(16) Diatomyidae [Laonastes, 1 genera, 1 species];

(17) Dinomyidae [pacaranas, 1 genera, 1 species];

(18) Dipodidae [jerboas and jumping mice, 16 genera, 51 species];

(19) Echimyidae [spiny rats, 18 genera, 85 species];

(20) Erethizontidae [New World porcupines, 5 genera, 18 species];

(21) Geomyidae [gophers, 6 genera, 35 species];

(22) Gliridae [dormice, 9 genera, 29 species];

(23) Heteomyidae [kangoroo mice and rats, 6 genera, 59 species];

(24) Hystrididae [Old World porcupines, 3 genera, 11 species];

(25) Muridae [true mice, rats, gerbils spiny mice, 150 genera, 710 species];

(26) Myocastorida [nutria or coypu, 1 genera, 1 species];

(27) Nesomyida [climbing and rock mice, white-tailed rat, 21 genera, 68 species];

(28) Octodontidae [octodonts, 8 genera, 13 species];

(29) Pedetidae [springhares, 1 genera, 2 species];

(30) Petromuridae [dassie rat, 1 genera, 1 species];

(31) Platacanthomyidae [spiny dormice, 2 genera, 2 species];

(32) Sciuridae [chipmunk, marmot, prairie dog, squirrel, 59 genera, 285 species];

(33) Spalacidae [mole rats, bamboo rats, zokors, 6 genera, 37 species];

(34) Thryonomyidae [cane rats, 1 genus, 1 species].