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Abstract: A theoretical framework of calculating consistently the low-energy nuclear structure and neutrinoless double-beta (0 νββ ) decay nuclear matrix elements (NMEs) is developed in terms of the interacting boson model (IBM) that is based on the framework of the nuclear energy density functional (EDF). The IBM Hamiltonian describing general quadrupole collective states in even-even nuclei involved in proposed 0 νββ decays is completely determined by means of the self-consistent mean-field calculations with a given EDF. The predicted NMEs are compared with those obtained from other many-body methods and are, in particular, shown to be systematically smaller than the NME values from previous IBM calculations that employed empirical parameters. Mixing of normal and deformed intruder configurations is incorporated in the IBM, and is shown to reduce the $$ {0}_1^{+}\to {0}_1^{+} $$ 0 νββ decay NMEs.