The complex impedance spectroscopy method was applied to evaluate the profound characteristics of the electrical transport capacity of lead-free ferroelectric ceramic solid solutions of (1-x)(Na 0.5 Bi 0.5 )TiO 3-x Ba TiO 3 (NBT-xBT) (0.00 ≤ x ≤ 0.10). The elaboration of NBT-xBT, via a solid-state reaction between (Na 0.5 Bi 0.5 )TiO 3 and BaTiO 3 , was determined using X-ray diffraction. Refinements, at room temperature, identified a rhombohedral phase, space group R3c for x = 0.0 and 0.03, which possesses an antiphase, corresponding to the tilting system ā ā ā with an angle of inclination of 8.24° according to Glazer's notation. We used the complex impedance, complex electric Cole-Cole diagram and frequency-dependent AC conductivity analysis to examine the relaxation and conduction mechanism in these samples, which exhibit non-Debye type behaviour. In addition, using an equivalent circuit composed of resistance and capacitance, we examined the different contributions (grains and grain boundaries) in our samples. (Na 0.5 Bi 0.5 )TiO 3 exhibits a dielectric resonance, which manifests itself as negative permittivity. The resonance development of NBT-xBT in the range (500 Hz − 2 MHz) is discussed in this paper.