A simple empirical relation has been proposed to estimate the bulk modulus (B) of ternary chalcopyrite structure solids of I-II-VI, II-IV-V type from the electronegativies of the constituent atoms and the principal quantum number of atoms of the compounds. The present relation is based on chemical bonding model. The electronegativity and principal quantum number determine the chemical bonding of constituent atoms of compounds. The chemical bonding of compounds is the starting point of the stability of compound which is based on the minimum energy principle. In this study, the ground state property like bulk modulus has been correlated with the nature of bonding of materials. The combination of electronegativity and principal quantum number gives a good account of bonding of ternary chalcopyrite structure solids. These two parameters provide a reliable guide to the structural stability of chalcopyrite structure solids. The computed values for bulk modulus are found to be good agreement with the known ones, the comparison between our present values and the ones in the literature is also given.