The invention relates to a low-attenuation and few-mode fiber. A core layer has three layers and comprises three claddings from inside to outside; the relative refractive index difference delta 1 of a first core layer is 0.34%-0.45%, R1 ranges from 4.5 mu m to 7.5 mu m, the relative refractive index difference delta 2 of a second core layer is 0.20%-0.29%, R2ranges from8 mu m to 10 mu m, the relative refractive index difference delta 3 of a third core layer is 0.15%-0.24%, R3 ranges from 10 mu m to 13 mu m, the relative refractive index difference delta 4 of a first cladding is minus 0.02%-0.02%, R4 ranges from14 mu m to 18 mu m, the second cladding is a concave cladding, the relative refractive index difference delta 5 of the second cladding is minus 0.8%-minus 0.4%, R5 ranges from19 mu m to 31 mu m, and a third cladding is a pure quartz glass layer. According to the low-attenuation and few-mode fiber, four stable transmission modes are supported within 1550 nm, small DGD is provided, the process is simple, and the manufacturing is easy; at the same time, the low-attenuation and few-mode fiber has low attenuation and better bending resistance.