Two new Cu(II)/Na(I) coordination polymers, namely, {[(Cu(L1)Na)2(ox)(ClO4)2]∙dmf}n (1) and {[(Cu(L2)Na)2(nph)]∙H2O}n (2) were synthesized by using the Schiff base N-(2-hydroxyethoxy)ethyl-iminomethyl-phenol (H2L1) with oxalate (ox) and (3-methoxy-2-hydroxybenzylidene)propanoic acid (H2L2) with naphthalene-2,6-dicarboxylate anions (nph), respectively. Both the complexes were characterized using elemental analysis, FT-IR, UV–vis spectroscopic analyses. The solid state structures of complexes 1–2 were determined using single crystal X-ray crystallography that revealed for 1 the presence of dinuclear copper(II) species, [(L1)Cu(ox)Cu(L1)], while 2 consists of stair-like 1D -[CuL2]2-(nph)]n- polymers. Both these fragments are further connected by Na(I) cations to form 2D supramolecular assemblies. In both the compounds the copper and sodium atoms exhibit a square pyramidal and a distorted octahedral coordination geometry, respectively. The catalytic activity of complexes 1–2 for the degradation of methylene blue (MB) was investigated under UV irradiation and in the presence of very small amount of H2O2. Both the compounds were found to be photo-catalytically active, and the mechanism of photocatalysis has been discussed in detail.