We investigate morphological structure parameters and local environments of distant moderate-luminosity active galactic nucleus (AGN) host galaxies in the overlap between the HST/ACS observations of the Great Observatories Origins Deep Survey (GOODS) and the two Chandra Deep Fields. We compute near-neighbor counts and BViz asymmetry (A) and concentration (C) indices for ≈35,500 GOODS/ACS galaxies complete to , including z850 ≈ 26.6 the resolved hosts of 322 X-ray–selected AGNs. Distributions of (1) asymmetry for 130 AGN hosts z z 850 850 ! 23 and (2) near-neighbor counts for 173 AGN hosts are both consistent with non-AGN control samples. z850 ! 24 This implies no close connection between recent galaxy mergers and moderate-luminosity AGN activity out to appreciable look-back times ( ), approaching the epoch of peak AGN activity in the universe. The distri- z 1.3 bution of z850 C for the AGN hosts is offset by compared to the non-AGN, a 6.4 DC ≈ 0.5 j discrepancy much larger than can be explained by the possible influence of unresolved emission from the AGN or a circumnuclear starburst. The local universe association between AGN and bulge-dominated galaxies thus persists to substantial look-back time. We discuss implications in the context of the low-redshift supermassive central black hole mass correlation with host galaxy properties, including concentration.