With the continuous advancement of industry technology, fuel pumps are increasingly subject to vibration and noise problems in addition to high speed, high pressurization value, etc. In this paper, the noise of a fuel pump was tested and a design optimization to suppress the noise was proposed. The sound pressure level(SPL) was found exceeding requirements firstly. The numerical analysis model of the pump showed that the main reason of the noise is caused by pressure pulsation between the impeller and the vane. An optimized design of impeller and vane of the pump was proposed. The numerical results show that the pressure pulsation at the blade passing frequency(BPF) is significantly reduced. Finally, the optimized impeller and guide vane were machined and tested. Test result shows that the SPL of the fuel pump drops significantly, meeting the noise requirements. The research findings can serve as a reference for the design optimization of other aviation fuel pumps.