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The cathode material of single-crystal polyhedral LiAl0.08Ni0.03Mn1.89O4(LANMO) was rapidly synthesized by a solid-phase combustion method. The exposed surfaces of the single-crystal particles include {111}, {110} and {100} crystal faces. The results show that, LANMO material is a single-phase spinel structure, belonging to the space group Fd3m and exhibits a good crystallinity, the particle size is between 200 to 300 nm. The initial discharge specific capacity of LANMO is 110.6 and 96 mAh·g-1 at 1 C and 5 C, respectively, and the capacity retention rate reaches more than 70% after 1000 cycles. Under the elevated temperature (55 ℃) 1 C condition, the LANMO material also has an initial discharge specific capacity of 114.2 mAh·g-1, showing an excellent electrochemical performance. The kinetic performance test shows that the LANMO sample has a higher Li+ ion diffusion coefficient of 1.58×10-11 cm2 s-1 and a lower apparent activation energy of 23.89 kJ·mol-1. The Al-Ni synergistic modification improves the crystal structure stability of single crystal polyhedral spinel LiMn2O4 material, inhibits the Jahn-Teller effect effectively, reduces Mn dissolution, increases Li+ diffusion channels, Li+ diffusion rate and electrode reversibility as well as improves the rate performance and cycle life.