Crust and mantle 3-D shear velocity model extending well offshore of New Zealand’s South Island, imaging the lithosphere beneath the South Island as well as the Campbell and Challenger Plateaus. Our model is constructed via linearized inversion of both teleseismic (18–70 s period) and ambient noise-based (8–25 s period) Rayleigh wave dispersion measurements. We augment an array of 4 land-based and 29 ocean bottom instruments deployed off the South Island’s east and west coasts in 2009–2010 by the Marine Observations of Anisotropy Near Aotearoa experiment with 28 land-based seismometers from New Zealand’s permanent GeoNet array. This model is completely unconstrained (all layers are allowed to vary equally). The "Moho" model using Moho depth constraints obtained from the model of Salmon et al. (2011) can be found under 'Shear Wave Velocity of New Zealand's South Island (Moho version)'.