In order to realize the adjustable stiffness and strength of compressor impeller and reduce the mass of the impeller, a new lightweight compressor impeller was designed based on the conventional cubic lattice structure. Based on the comparative calculation of three models of cantilever beam, it has been proved that the asymptotic homogenization (AH) method has good accuracy in large-scale lattice calculation. On this basis, the AH method was used to calculate the static performance of lattice impeller with different cell filling rates under the inertial load of 80 000 r/min. Results show that for the studied path, the deformation and stress of the lattice impeller were between those of the unfilled impeller and the solid impeller, and the difference (range) between the maximum and minimum circumferential deformation of the outer edge of the large blade was smaller than those of the unfilled impeller and the solid impeller. When the filling rate was 0.4, the circumferential deformation range of the lattice impeller was 23.25% lower than that of the solid impeller, 55.46% lower than that of the unfilled impeller, and the mass of the lattice impeller could be reduced by 17.08% compared with solid impeller. It indicates that in comparison with the traditional compressor impeller, lattice impeller can not only greatly reduce the impeller mass, but also has better circumferential distortion resistance and higher work efficiency. Meanwhile, the blade edge of lattice impeller has smaller axial stress than those of unfilled impeller and solid impeller, so it can provide strength guarantee for the design of compressor impellers with higher speed. The design of this paper also provides a new design idea for the lightweight design of impeller structures.