A group of ABO3 perovskite-type oxides is currently under intensive studies for their potential as chemical sensing, ferroelectric memories, gas separation and computer devices. This group includes LaxSr1-xCoO3 (LSCO). In the present work, we have synthesized LSCO samples by using the sol-gel method and studied their Nano structural and electrical properties with using the SEM (scanning electron microscopy), EDX (energy dispersive Xray), Current density-voltage (J-V) and FTIR (Fourier transform infrared spectroscopy) techniques. We could synthesize nanoparticles with diameters between 50 and 100 nm by calcination of the pulverized gel powders, and then studied its structure. The band gap characteristics of the La0.5Sr0.5CoO3 structure were also analyzed. The obtained results show that La0.5Sr0.5CoO3 with high carrier mobility (~1.7× 10-2 cm2 v-2 s-1), higher dielectric constant (16) exhibits a variety of interesting physical properties which include ferroelectric, dielectric, pyroelectric and piezoelectric behavior.