Richard Kirkby (c. 1625 – 9 September 1681) was an English politician who sat in the House of Commons from 1661 to 1681.
Kirkby was the son of Roger Kirkby or Kirby of Kirkby Ireleth, Lancashire and his wife Agnes Lowther, sister of Sir John Lowther, 1st Baronet.
His first wife was Elizabeth Murray by whom he had children Roger Kirkby (c.1649–1709), Agnes and Temperance.
He married secondly Isabel Huddleston, daughter of Sir William Huddleston of Millom and had children Capt.
His third wife was Helen Maxey and he had children Greville Kirkby (b.