High energy lasers can be used to study material conditions that are appropriate fort inertial confinement fusion: that is, materials at high densities, temperatures, and pressures. Pulsed power devices can offer similar opportunities. The National Ignition Facility (NIP) will be a high energy multi-beam laser designed to achieve the thermonuclear ignition of a mm-scale DT-fried target in the laboratory. At the same time, NE will provide the physics community with a unique tool for the study of high energy density matter at states unreachable by any other laboratory technique. Here we describe how these lasers and pulsed power tools can contribute to investigations of high energy density matter in the areas of material properties and equations of state, extend present laboratory shock techniques such as high-speed jets to new regimes, and allow study of extreme conditions found in astrophysical phenomenaThe purpose of this article is to introduce and describe the kinds of high energy density experiments that are now being done with high energy radiation sources --lasers and pulsed power devices --on present-day facilities and to indicate where these investigations might proceed with larger facilities either on the drawing board or under construction. Both pulsed power and laser facilities have been funded predominantly for research i,n inertial confinement fusion (KF) or, in the case ofpulsed power% as high flux, short wavelength x-ray sources. The idea that they could be used to investigate specific areas of high energy density physics took some time to germinate, The growth of physics-specific experiments on lasers and pulsed power has been driven largely by the need for high energy density information in the absence of nuclear testing.Although the use of high energy lasers for studies of, e.g., material properties at extremely high pressure or high-Mach-number hydrodynamic flow, is recent --less than 10 years, the use of pulsed power machines for such experiments is even newer. Since there is a base of laser experiments on facilities like Nova at Lawrence Livermore National Laboratory (LLNL), the bulk of this article will discuss those experiments. Pulsed power facilities like Z at Sandia National Laboratories (SNL) can and will perform measurements similar to those described below. Extensions of Nova experiments to next generation lasers, like the National Ignition Facility (to be bui1.t at LLNL) can be made. The next generation pulsed power machine, designated X-l, may be built at SNL in the next century.Lasers and pulsed power devices can produce high energy radiation sources but can be seen as somewhat complementary. The most energetic laser for the past 15 years has been Nova[ I], although the B&EGA laser[Z!] at the University of Rochester is now equivalent. Nova is a tenbeam laser that can produce about 1.00 kJ of l-pm-wavelength laser light. This long wavelength,