Na2OCuOSiO2 glasses mixed with different concentrations Bi2O3 (ranging from 0 to 20.0 mol%) were prepared. Various dielectric parameters viz., dielectric constant, ε′, loss tan δ, electric moduli, M, electrical impedance, Z, and also a.c. conductivity, σac(ω), in the frequency region 100 Hz to 1 MHz and in the temperature region 200 K‒400 K were measured as a function of Bi2O3 concentration. The obtained results were analyzed on the basis of space charge and dipolar polarization models. All the dielectric parameters exhibited decreasing trend with increase of Bi2O3 concentration. Our earlier spectroscopic studies of the same glass system indicated that there is a gradual reduction of Cu2+ ions into Cu+ ions with increase of Bi2O3 content in the glass network and these monovalent copper ions were found to participate in the network forming and form linkages with silicate structural units. The gradual increase in the degree of polymerization of the glass network is found to be the reason for the decrease of dielectric parameters. The variation of dielectric loss tanδ and electric moduli with frequency exhibited dipolar relaxation effects. The relaxation intensity is found to decrease, whereas the activation energy for the dipoles and the dielectric relaxation time are found to increase with increase in the concentration of Bi2O3. The observed relaxation effects are attributed to the complexes of divalent copper ions and Bi3+ ions. The variation of a.c. conductivity as a function Bi2O3 content exhibited a decrease (∼three orders of magnitude) with increase of Bi2O3 from 0 mol% to 20.0 mol%. The change of a.c. conductivity is explained in the light of varying oxidation states of copper ions using quantum mechanical tunneling model. The overall, analysis of these results indicated a gradual increase in the insulating character of the studied glass material with increase in the concentration of Bi2O3.