Henry Cullen FRSE FRCPE (c.1758-1790) was a Scottish physician. He was Chair and Professor of Medicine at the Edinburgh Royal Infirmary. A member of the Philosophical Society of Edinburgh when it received its royal charter, he automatically became a founding Fellow of the Royal Society of Edinburgh in 1783.
Born in Edinburgh, the son of eminent physician and chemist William Cullen and Anne Johnstone (d.1786), Henry was educated at Edinburgh University (MD 1780). His brother was the judge Robert Cullen, Lord Cullen.