The U.S. Department of Energy, Office of Fusion Energy, has sponsored two teams to conduct conceptual design studies of Inertial Fusion Energy (IFE) electric power plants. W. J. Schafer Associates is heading an experienced team of fusion technology experts from Bechtel, General Atomics, Textron Defense Systems, and the University of Wisconsin. Our team is designing two 1000 MWe power plants, one driven by a KrF laser and the other by a heavy ion beam (HIB) induction accelerator. In this paper we report on the progress of the reactor chamber designs.