Francis Gregor (1 June 1760 – 12 July 1815) was an English landowner in Cornwall, Member of Parliament for the Cornwall county constituency from 1790 to 1806.
Gregor was born on 1 June 1760 in Trewarthenick, Cornwall, the son of Cpt Francis Gregor (born 1728), owner of the Trewarthenick Estate and Mary Copley. His younger brother was the Rev. William Gregor, the mineralogist. He was educated at Truro Grammar School,Bristol Grammar School and St John's College, Cambridge, where he graduated B.A. as third wrangler in 1782, before being admitted to study law at Lincoln's Inn in 1783. He was High Sheriff of Cornwall in 1788–1789, and on 10 July 1790 was elected as one of the knights of the shire for Cornwall, "after a severe and protracted contest". Elected unopposed in 1796 and 1802, he retired from the House of Commons in 1806.
In 1802 he was elected a Fellow of the Royal Society of Edinburgh his proposers being Dugald Stewart, Alexander Fraser Tytler and Sir William Arbuthnot, 1st Baronet.