The body was found on 7 October after a barge collapsed the previous day throwing several men into the sea. It is thought one of the four legs on the huge JB104 barge, resting on the floor of the Haven, suddenly gave way, tipping it over at a sharp 45º angle.
A South Hook LNG Terminal statement said: "Our heartfelt sympathies go out to the next of kin, family and friends. We are supporting in every way possible the seven workers who were directly involved in this tragic event."
The jack-up rig, a self-contained combination drilling rig and floating barge, fitted with long support legs that can be raised or lowered independently of each other, was being used to support a crane at the time of collapse.
The statement said internal investigations were under way but the company would not yet "speculate on the causes of this incident".
The terminal is part of a £6bn project to import LNG from Qatar to Milford Haven and then through South Wales to a distribution centre at Gloucester. It will eventually supply 20% of the UK's energy needs.
Salvage experts within the Haven arrived at the scene on the Monday following the collapse to assess a recovery operation that involved the safe retrieval of a 2000l diesel tank that has fallen below the water line.