The polycrystalline sample of Ba2BiNbO6 (a member of double perovskite family) was synthesized by a high-temperature solid-state reaction method (calcination at 910 °C, and sintering at 950 °C). Preliminary analysis of room temperature X-ray data pattern of the sample confirms the formation of a single phase compound in orthorhombic crystal system. The room temperature scanning electron microscope image of the pellet sample clearly shows the uniform distribution of grains and formation of a high density sample. Detailed studies of dielectric and polarization characteristics with temperature confirmed the existence of ferroelectricity in the material. Studies of electrical properties exhibits a strong correlation with the micro-structure and resistive properties of the material. The electrical transport shows the existence of non-exponential-type of conductivity relaxation in the material. This lead-free ferroelectric has many interesting characteristics as compared to that of their lead-based counterpart, Pb2BiNbO6.