Title: The Atmospheres of Extrasolar Giant Planets Abstract: The bulk of exoplanet science to date has focused on planet detection with large-scale ground-based surveys and space-based facilities such as the Kepler Space Telescope. The past decade, however, has seen steady growth in observational and theoretical efforts aimed at understanding global chemical, radiative, and dynamical processes shaping exoplanet atmospheres. There now exists a substantial amount ground and space-based observations that aim to probe atmospheric composition and thermal structure of these distant worlds. This new wealth of observational data has required refinement of methodologies and atmospheric theory, many with roots in solar system studies, used to interpret these data. Additionally, novel observational techniques and specialized general circulation models have allowed probes of the three-dimensional nature of exoplanet atmospheres, despite the limitations of spatially unresolved observations. Here I will review our current understanding of extrasolar giant planet atmospheres, dominated by the hot Jupiter population, which are in very different chemical, radiative, and dynamical regime compared with solar system giant planets. The next twenty years will bring continued growth in both exoplanet theory and observations that will further bridge the gap between our understanding of extrasolar and solar systems giant planets.