In this present work, pristine Co₂GeO₄, binary Co₂GeO₄/reduced graphene oxide (rGO) composite and ternary composite of Co₂GeO₄/rGO@C is prepared by single step hydrothermal process followed by calcination. The amount of carbon content and rGO is identified through thermogravimetric analysis (TGA). XRD analysis reveals the compound formation of single phase Co₂GeO_4. TEM and HRTEM images clearly elucidate the presence of ternary phases of Co₂GeO₄, r-GO and C in the ternary composite. The Galvanostatic charge-discharge (GCD) curve demonstrates that the initial discharge capacity of pristine Co₂GeO₄, Co₂GeO₄/rGO and Co₂GeO₄/rGO@C composite is 1400, 1284 and 1594 mAh g^-1 at 50 mAh g^-1, respectively. The observed discharge capacity is higher than the theoretical capacity of Co₂GeO₄ which is due to reduction of organic electrolyte and the formation of solid electrolyte interphase film (SEI). The cycling stability curve shows the specific capacity of 609, 970 and 1180 mAh g^-1 for pristine, Co₂GeO₄/rGO and Co₂GeO₄/rGO@C composite respectively over 15 cycles which confirms that Co₂GeO₄/rGO@C composite exhibits the stable and high specific capacity. The rate capability curve and EIS spectrum is carried out for the prepared samples which indicates that Co₂GeO₄/rGO@C composite shows the better rate capability and good electronic conductivity.