The demand for high specific-capacity positive electrode materials has become a high priority for the integration for high-energy density rechargeable lithium-ion batteries (LIBs) in transportation and grid storage applications. With the advantages of high capacity of >280 mAh g^-1, high operating voltage (>3.2 V vs. Li⁺/Li on average) and low cost, Li-rich Mn-based layered oxides xLi₂MnO₃-(1-x)•LiMO₂ (M= Ni, Co, Mn) have emerged as a potential next-generation positive electrode materials for high-energy density Li-ion batteries. However, a poor cycling stability observed in Li-rich cathodes is regarded as a major obstacle to commercialization. It is now well recognized that the use of conventional carbonate-based electrolytes in current Li-rich positive electrodes, which can react with oxygen evolved from the lattice of Li-rich positive electrodes during cycling, is a major cause for theirs poor cycling stability. Therefore, here we select several non-carbonate based electrolyte solvents including ethers, crown ethers, fluorinated ethers (1, 1, 1, 3, 3, 3-hexafluoroisopropyl methyl ether, HFPM), sulfones and phosphates and prepare some electrolytes based these non-carbonated solvents. The results indicate that the Li-rich electrodes with non-carbonate electrolyte show good performance in galvanostatic cycling, confirming their potential as rich-Li positive materials with enhanced longevity and safety.