The effect of linking of copper atom on electronic transport properties and rectifying behavior of biphenyl based molecular junctions has been computationally investigated using first-principles calculations. We have calculated I-V characteristics, rectification ratio, transmission spectra and molecular projected self-consistent Hamiltonian (MPSH) for different considered models i.e., A, B, and C. The calculated results show that different linking of Cu atom significantly affects the transport properties of molecular junctions. It is observed that when biphenyl molecule links Au electrodes through dithiocarboxylate (-CS 2 group on one side and copper (Cu) atom on the other side (model A), exhibit higher rectifying performance than other reported results. The predicted high rectification ratio may be useful for various nanoelectronic applications.