Robert Baikie (died 1817) was a Scottish politician from Tankerness and Egilshay in Orkney. Baikie was the oldest son of James Baikie of Tankerness and his wife Janet, a daughter of William Douglas, and heiress of the Monteiths of Egilshay through her grandfather Alexander. His father was provost of Kirkwall during the Jacobite rising of 1745, and was paid a pension by the Earls of Morton for his support of their electoral interests.