Single-phase polycrystalline sample of (Bi 0.6 Pb 0.4 Fe 0.6 Ti 0.4 )O 3 was synthesized by a standard hightemperature solid-state reaction method. Preliminary structural analysis of the material using room temperature X-rays diffraction data and pattern exhibits its tetragonal structure. Detailed studies of frequency and temperature dependence of dielectric, impedance and transport properties of (Bi 0.6 Pb 0.4 Fe 0.6 Ti 0.4 )O 3 in the wide range of frequency (10 3 -10 6 Hz) at different temperature (25-500°C) have provided many interesting results useful for device applications. The frequency dependence of ac conductivity of the material obeys Jonscher's universal power law. The results obtained on transport properties of the materials have been interpreted in terms of a two-layer model with conducting grains partitioned from each other by poorly conducting grain boundaries. Based on this model, the two electrical responses in impedance and modulus formalisms have been suggested to investigate the effect of grain and grain-boundary.