The present invention discloses a pump jet propeller model with Helmholtz resonant cavities, and a design method thereof. The pump jet propeller model comprises a conduit, a front stator, an impeller, a ring rib and a longitudinal rib that are arranged inside the conduit, a Helmholtz resonator with two parallel resonant cavities arranged at the inner front end of the conduit, and a Helmholtz resonator with two parallel neck portions arranged at the inner rear end of the conduit. The resonant frequency of the front resonator is the pump jet blade frequency and 2 times blade frequency, and the resonant frequency of the rear resonator is the 2 times pump jet blade frequency. Compared with the reference pump water jet model, the hydrodynamic performance of the pump jet model with the Helmholtz resonant cavities is basically the same, and the spectral noise at the blade frequency and 2 times blade frequency is reduced by 2-3dB. The number of stator blades is 11 leaves, the number of impeller blades is 9 leaves, and the impeller blades have large lateral slope characteristics, and can be used as the main propeller with the speed of 16 knots, the thrust of 300kN and the power of 3.5MW. According to the technical scheme disclosed by the present invention, pump jet low-frequency spectral noise can be further prohibited, and total noise can be further reduced; and the muffler technical scheme can be applied to the spectral noise optimization design of the non-axis drive integrated motor pump water jet model.