The rapid capacity decay of spinel LiMn2O4 is attributed to the occurrence of Jahn-Teller distortion and Mn dissolution, which limits commercial application. Herein, a solid-state combustion method is employed to synthesize various LiAl0.03CoxMn2-xO4 (x≤0.08) cathode materials. The results show that Al-Co co-doping promotes the crystal development of spinel LiMn2O4 and the selective growth of 111}, {100} and {110} crystal faces. The optimal LiAl0.03Co0.03Mn1.94O4 cathode material has a single crystal particle morphology of completely truncated octahedron. At 5 C and 10 C，it delivers the first discharge capacities of 108.6 and 104.9 mAh/g with the high capacity retentions of 70.4% and 75.5% after 2000 long cycles, respectively. At a higher rate of 20 C, it shows a low-capacity fade of 9.3% after 500 cycles. The LiAl0.03Co0.03Mn1.94O4 material has a low apparent activation energy (22.84 kJ/mol) and a relatively high Li+ diffusion coefficient (5.47×10-16 cm2/s), indicating that it has a good lithium-ion migration kinetics. Consequently, the Al-Co co-doping effectively stabilizes the crystal structure by inhibiting the Jahn-Teller distortion of truncated octahedral LiMn2O4, reduces the Mn dissolution and increases the number of Li+ diffusion channels, thereby improving the high-rate performance and long-cycle life of the material.