Supernova remnants and their associated pulsars represent an energetic class of objects which is intimately connected to sources of gamma-ray emission in our Galaxy. The connection between SNRs and the energetic cosmic rays that pervade the Galaxy has long be assumed. Shock acceleration by the SNR blast wave provides ample energy for the production of multi-TeV particles, and the presence of nearby material in dense clouds from which the remnant progenitors collapsed forms a natural target for pion production. SNRs are thus strong candidates for the emission of gamma-rays. Recent X-ray observations have revealed distinct SNRs whose emission is dominated by nonthermal emission from these energetic particles, providing direct evidence of TeV electrons, and leading to detection of two remnants as TeV gamma-ray sources.
Gamma-ray studies to date have clearly identified pulsars as strong candidates for gamma-ray emission, and supernova remnants hold another key in this regard. Recent X-ray observations have revealed numerous new synchrotron nebulae in SNRs which, to the best of our understanding, must house active pulsars. Studies with Chandra and Newton/XMM can realistically be expected to expand much of the ground breaking work done with ASCA in this regard, thus improving our ability to identify promising candidates for energetic gamma-ray production. In this talk I will review the recent and ongoing observational X-ray work on composite remnants, SNR interactions with molecular clouds, and nonthermal emission from shell-type SNRs.