A 1080 nm single frequency fiber laser with a short distributed Bragg reflector (DBR) structure based on a 1.4 cm highly Yb3+-doped phosphate glass fiber is reported. The maximum output power of 90 mW and the slope efficiency of 36.6% are obtained. The output power instability in one hour is less than 0.05%. The side mode suppression ratio (SMSR) is higher than 69 dB and the measured linewidth is less than 10 kHz. The relative intensity noise is less than -120 dB/Hz for frequencies over 2 MHz.