One crew member is still unaccounted for and the search has been called off, HM Coastguard said.
The collision involved the US-registered Stena Immaculate - which was transporting fuel on behalf of the US military - and the Portuguese-flagged Solong.
Coastguard Divisional Commander Matthew Atkinson said 36 people had been rescued, with one person taken to hospital. The missing crew member had been onboard the Solong, he said.
