A narrow line-width fiber ring laser with frequency selecting by fiber Bragg grating(FBG) short linear cavity is reported.Its resonant cavity is annular and composed by high Er~(3+) doped fiber,circulator,980/1 550 nm WDM and FBG short linear cavity.In the experiment,pumped by 976 nm LD,the associated fiber laser with frequency selecting by FBG short linear cavity exhibits 11 mW threshold.About 2.65 mW output power and 15% slope efficiency are obtained upon the maximum 25 mW 976 nm pump power.The 3 dB and 20 dB line-width of fiber laser are less than 0.01 nm and 0.04 nm respectively,and SMSR is about 48 dB.The range of signal wavelength shift is 0.06 nm.