John Simpson (2 September 1872 – 11 January 1921) was a Scotland international rugby union player. He later became an international referee and was the 31st President of the Scottish Rugby Union.^[1]

Simpson became a doctor. He was a Fellow of the Royal College of Physicians of Edinburgh and a Fellow of the Royal College of Surgeons of Edinburgh.^[7]

He died on 11 January 1921, leaving a widow Margaret Lockhart Mitchell. His estate was valued at £5204, 19 shillings and 3d.^[7]