Robert Graham FRSE FRCPE MWS (3 December 1786, Stirling – 7 August 1845, Coldoch, by Blairdrummond, Perthshire) was a Scottish physician and botanist. He was the inaugural chair of botany at the University of Edinburgh. He was also physician to the Royal Infirmary of Edinburgh and Regius Keeper (1820–1845) of the Royal Botanic Garden Edinburgh.
He wrote descriptions of new and rare plants cultivated in the gardens which were published in Edinburgh New Philosophical Magazine, Curtis's Botanical Magazine and Hooker's Companion to the Botanical Magazine.
Among plants he described was the Australian shrub Lasiopetalum macrophyllum.