His career includes Portfolio Manager Equity in Storebrand ASA (1987– 1990), and CEO for the Norwegian Oil Company DNO AS (1992–1995).
Since 1995, Trøim has been a director of SeaTankers Management in Cyprus, taking the Greenwich Group to the public markets.
In this function he has acted as CEO for the public companies Frontline Ltd (NYSE), Golar LNG Ltd (NASDAQ) and SeaDrill Ltd (OSE).
Trøim is currently Chairman of Golar LNG Energy Ltd., Independent Tanker Corporation Ltd., Aktiv Kapital.
He has since 2004 been vice president of Golden Ocean Group and since 2001 of Golar LNG, as well as Knightsbridge Tankers Limited and Ship Finance International.