Sir Richard Redman (or Redmayne) (died 1426) was a British soldier, administrator and politician, being elected as a Member of Parliament representing Yorkshire and later acting as the Speaker of the House of Commons for the Parliament of 1415.
Redman was the son of Sir Matthew Redman, who served in France and Spain under John of Gaunt, and grandson of another Sir Matthew Redman who was the Member of Parliament for Westmorland in 1357 and 1358.
Redman began his career as a soldier, campaigning on the continent, and was knighted by 1376. He was appointed High Sheriff of Cumberland for 1387, 1391, 1394, 1397, 1401 and 1410 and High Sheriff of Yorkshire for 1403 and 1415. In 1393 Richard was granted leave to hold a tournament in Carlisle. In 1397, after campaigning in Ireland with Richard II he was appointed Master of the Horse. Between 1399 and 1400 he travelled to Ireland with John de Cobham, 3rd Baron Cobham before returning to England in May to create a peace with Scotland. In 1405 he was commissioned to fine members of the gentry associated with the rebellion by Henry Percy, 1st Earl of Northumberland, and was the same year elected to represent Yorkshire as a knight of the shire (MP), a job he returned to for the Parliaments of 1414, 1415, 1420 and 1421. In 1408 he was commissioned again to fine gentry associated with the Percy Rebellion after their defeat at the Battle of Bramham Moor.