John Scrymgeour or Scrimgeour, 1st Viscount of Dudhope (died 7 March 1642 or 1643) was a Scottish politician.
He succeeded his father James Scrimgeour as hereditary Constable of Dundee and Standard Bearer of Scotland in 1612.
On 15 November 1641 he was created Viscount of Dudhope and Lord Scrymgeour, with remainder to his heirs male whatsoever.
Their children included: Margaret Seton, Lady Dudhope, was a friend of Jean Drummond, Countess of Roxburghe, whose stepdaughter Isobel Ker was married to their son, James Scrimgeour, later 2nd Viscount Dudhope.
John Scrimgeour ordered a pair of pistols as a gift for her husband Lord Roxburghe from a gunsmith in Dundee.