Cook Strait, the central seaway through the axial ranges of New Zealand, has many inferred origins. A compilation of marine geological and geophysical datasets suggests that Cook Strait developed when five sedimentary basins at a rapidly changing, obliquely convergent, plate boundary were moved into line and were linked by strong tidal scour in middle Pleistocene times. The basins relate partly to oblique subduction north of Cook Strait and partly to intercontinental transform to the south. Prior to opening, muddy, subduction pull-down and foreland basins in the northwest were separated from equally quiet water, rotating, forearc to transform basins in the southeast. The land barrier between them narrowed and was finally breached as subduction-related basins migrated southwards and transform-related basins extended northwards in response to rotation and divergent branching of a major transcurrent fault.Following breaching, a history of alternating scour and quiet water deposition is recorded by a series of deep, irregular unconformities in muddy basin fill. Scour is correlated with interglacial periods of high sea level when land barriers were submerged and strong tides, caused by a 140° phase difference at either end of the strait, eroded muddy sediments deposited in glacial periods when an emergent landbridge limited tidal exchange.