In this study, a V-doped Li4Ti5O12/C (LTO/C) anode material is prepared using a solid-state method. Furan resin and vanadium are employed to metal dope and carbon coat LTO, respectively. To prepare LiFe0.5Mn0.5PO4/C (LFMP/C) cathode materials, a ball-milling method is used to induce a solid-state reaction by using polystyrene and citric acid as a carbon source and complexing agent, respectively. The characteristic properties of the samples are examined using X-ray diffraction (XRD), micro-Raman spectroscopy, scanning electron microscopy (SEM), and the AC impedance and galvanostatic charge–discharge methods. Finally, an LTO/LFMP full cell is constructed and examined. The full cell exhibited discharge capacities of 161, 152, 141, 123, 111, and 84 mAh g−1 at 0.2, 0.5, 1, 3, 5, and 10C, respectively, showing that both the Li4Ti4.95V0.05O12/C anode and LFMP/C cathode are potential candidates for application in high-power Li-ion batteries.