The invention discloses a low-noise design method of a centrifugal pump with low specific speed, and relates to an active control method of flow noise of turbomachinery. The design method comprises the steps that firstly, main structural dimensions of a centrifugal pump impeller and a helical pumping chamber (volute) are obtained by the traditional low-specific-speed pump design method; secondly, an internal flow field of the pump is computed by a computational fluid mechanics method; the performance of the pump is predicted whether to meet a design requirement; an optimum design improvement is performed by analyzing a stationary flow field; thirdly, flow induction noise of the pump with low specific speed is predicted by a computational acoustics method; if a flow noise index is qualified, the design is accomplished; if the flow noise index is disqualified, subsequent steps are performed; fourthly, the diameter of the impeller basically meeting a performance requirement in the design is adjusted to allow a gap between the impeller and a volute tongue to be increased continuously to 20%; splitter blades are added in the middles of blades to increase the lift, control the flow situation, and ensure the efficiency; and finally, the pump subjected to the impeller improvement design is subjected to noise prediction; if the flow noise index is qualified, the design is accomplished; and if the flow noise index is disqualified, the beginning step is repeated. The design method shortens the research and development period, saves the development cost, effectively improves the design quality of the centrifugal pump, can simultaneously meet low-noise requirements of the lift and the efficiency, and realizes optimization of the performance of the complete centrifugal pump with low specific speed.