Thorkild Jonsson Fjeldsted (1740 – 19 November 1796) (Icelandic name Þorkell Jónsson Fjeldsted) Icelandic lawyer, practised law in Copenhagen from 1763 to 1769, and from 1769 to 1772, he was Prime Minister of the Faroe Islands.
After that, he moved to Norway. From 1771 he was county governor of Finmarkens amt, then county governor of Bornholm and from 1780 of Christianssand amt. In 1786 he became a county governor of Trondheim amt. He died in Copenhagen.