Lorentz Görges was born as the son of the ensign at the Östgöta Infantry Regiment, Johan Görges, and his wife Clara Corylander. Görges later moved to Stockholm, where he became a merchant and a councillor of commerce. He married Hedvig Elisabet Bohman in 1754 at Maria Magdalena Church. The couple had one daughter and two sons.

For several years, Görges was a part-owner of the successful trading house Bohman, Hassel & Görges, and he was counted among the so-called Shipbrokers' nobility. His wife was the daughter of Carl Bohman, who was one of the original owners of the trading house Bohman & Hultman. Lorentz Görges built the Görgeska house during the 1760s, which is located in Djurgårdsstaden.