A short-linear-cavity all-fiber laser configured with 1.8 cm Er3+/Yb3+ co-doped phosphate glass fiber is demonstrated experimentally with single frequency and high frequency stabilization. The fiber laser is composed of a high-reflectivity fiber Bragg grating (FBG) and a polarization-maintaining FBG. The pump is from a semiconducter laser of single mode at 976 nm. When the pump power into the cavity is 360 mW, the output power of the laser reaches more than 65 mW; the signal-to-noise ratio is higher than 70 dB; the laser linewidth is about 3 kHz and the polarization extinction ratio is about 40 dB. Moreover, the length of the active fiber is tuned by a piezoelectric transducer (PZT), and the laser frequency tunable slope is 14.2 MHz/V. Then the laser frequency is stabilized on FBG by using side frequency locking method. The long term frequency fluctuation is reduced from 25 MHz/10 s to 2.5 MHz/h.