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We present a first-principles investigation of the crystal and electronic structure as well as the average insertion voltage of the Li-site (by Na and Cr) and metal-site (by isovalent Ni,Zn,Ca,Mg and Mn and aliovalent Cu,AI,In,Mo and Zr) doped LiCoPO4.The results show that both the Li-site doping and metal-site doping may reduce the volume change of the material during Li extraction/reinsertion process.The metal doped at Li-site will block the path of Li ion diffusion.The doping by aliovalent transition metals will introduce defect levels in the energy band.It could influence the conductivity insertion voltage.