Metamaterial absorbers have been demonstrated across much of the electromagnetic spectrum, and shown useful for a number of devices including detectors and spatial light modulators. However, they are typically fashioned from a metal-insulator-metal architecture which severely limits their phase space of operation. For example, losses above typical metal scattering frequencies – around 10 THz – limits the conductivity resulting in increased metallic loss as one scales toward the visible. The relatively low operational temperature range of metals also limits their use for certain thermal applications. Here we experimentally demonstrate metamaterial absorbers fashioned only from dielectric materials. We realize an experimental absorptivity of greater than 90% at both THz and Infrared wavelengths. The theory underlying operation of the all-dielectric absorber is presented, and applications ranging from THz imaging to tailored emission for energy harvesting is discussed.