This paper reports, for the first time, the \(DFT\) calculation performed on \(Na\) -doped \(LiC{oO}_{2}\) material. The equilibrium voltage, specific capacity, energy density, and electrical and thermal conductivity have been investigated. The results of the calculation show that the compounds of \(N{a}_{x}L{i}_{1-x}Co{O}_{2} (x=0, 1/6, 1/3)\) exhibit high equilibrium voltage \(4.34 V\) , \(4.03 V\) , and \(3.62 V\) , respectively. The electrical and thermal conductivity decrease with increasing \(Na\) concentration in the \(N{a}_{x}L{i}_{1-x}Co{O}_{2}\) structure.