In this work, we study some of the most high performance electrode materials for lithium-ion batteries. These comprise molybdenum dichalcogenide MoX2 (molybdenum disulfide MoS2, molybdenum diselenide MoSe2, molybdenum ditelluride MoTe2). Using first principal calculations, structural and electronic proprieties of 2D material MoX2 are determinate. The stability estimation by cohesive energy, formation energy, adsorption, theoretical capacity and path diffusion of Lithium are calculated. Our study findings suggest that the adsorption of Li on various sites on the surface of the MoX2 monolayer maintains its semiconductor behavior, and MoX2 demonstrates negative adsorption energies for Li-ion. All of this indicates that the MoX2 is well suited as an anode material for lithium-ion batteries. Our research can offer new ideas for experimental and theoretical design and new anode materials for lithium-ion batteries (LIB).