Extensive occurrences of Permo‐Triassic strata are preserved along the Northwest European Atlantic margin. Seismic reflection and well data are used to describe large‐scale Permo‐Triassic basin geometries along a swath of the continental shelf more than 2000 km long extending from the Irish to the mid‐Norwegian sectors. Successions in the Celtic Sea, the flanks of the Irish Rockall Basin, basins west and north of Scotland, and the Trøndelag and Horda platforms west of Norway are described. The large‐scale Permo‐Triassic depositional geometries commonly represent erosional remnants of larger basins modified by later rifting episodes, uplift, inversion and continental breakup. However, the interpreted geometries reveal spatial and temporal differences in rifting style. The basins developed above a complex mosaic of petrologically heterogeneous crustal terranes with inherited crustal fabrics, which had a significant impact on the depositional basin geometries. Small Permian basins with growth faulting developed in the southern Celtic Sea region. Extensive, uniformly thick Triassic strata are characteristic of the wide rift basins in the southeastern Rockall Basin and northwest of the Solan Bank High. Thick, fault‐controlled basins developed in the Horda and Trøndelag platform regions. The main controls on Permo‐Triassic basin architecture are (a) crustal thickness and composition, which determined the development of narrow or wide rift basin geometries, (b) inherited Variscan, Caledonian and Precambrian basement structures and (c) pre‐rift palaeotopography. Copyright © 2009 John Wiley & Sons, Ltd.