The Spitzer/HETDEX Exploratory Large-Area (SHELA) survey covers ~24 sq. deg at 3.6 and 4.5 microns. The survey area falls within the footprints of the Sloan Digital Sky Survey "Stripe 82" region, the Hobby-Eberly Telescope Dark Energy Experiment (HETDEX), and the Dark Energy Survey. The images and catalogs are 80% (50%) complete to limiting magnitudes of 22.0 (22.6) AB mag in the detection image, which is constructed from the weighted sum of the IRAC 3.6 and 4.5 micron images. The catalogs reach limiting sensitivities of 1.1 microJy at both 3.6 and 4.5 microns (1#, for R = 2" circular apertures).