In the present thesis, the X-ray absorption fine structure (XAFS) spectroscopy has been used to study copper compounds and complexes. Studies have been done using both EXAFS and XANES spectroscopies. Basically, following two types of studies have been made. Firstly, EXAFS study at the K-edge of copper in mixed ligand copper complexes of biological significance have been done to yield useful and important information about the molecular structure of the complexes which are mononuclear, binuclear as well as trinuclear. Secondly, an evaluative and comparative study of the different methods of speciation using XANES at the K-edge of copper have been done by taking several mixtures of copper compounds and complexes.