The new perovskite LaBaFe0.5Zn0.5MnO6-δ have a single phase type cubic structure. An equivalent circuit consisting of resistor, capacity and constant phase elements. The AC conductivity is interpreted to follow the Jonscher's law. The transport properties are through ion hopping mechanism by the NSPT model. The Mössbauer measurement showed a paramagnetic iron in Fe3+ high-spin state.