Sir Robert was married to Jane Ingleby of Ripley (b. 1472) in 1492, probably in Yorkshire, England. Jane's parents were Sir William Ingleby of Ripley, son of John Ingleby of Ripley and Margaret Strangeways, Baroness Willoughby, and his wife Catherine Stillington, daughter of Thomas Stillington of Nether Acaster and Agnes Bigod.[citation needed]
Sir Robert and Jane had the following issue:[citation needed]
Sir Marmaduke Constable of Nuneaton (1498/1502-20 April 1560), married Elizabeth Darcy, daughter of Lord Darcy. Had issue.
Catherine Constable (c. 1498–1585), married Sir Roger Cholmley. Had issue.
Thomas Constable of Great Grimsby (c. 1504-aft 1558), married 1st Barbara Catherall, 2nd Lady Holdenby. Had issue by both wives.
Joyce Constable (b. circa 1500), married Rowland Pudsey. No issue.
Anne Constable (b. circa 1504), who married George Hussey (d. 10 August 1537) of Harswell and North Duffield, Yorkshire, son and heir of Sir William Hussey (d.1531) by Anne Salvaine, and had issue three sons, John, Robert and William, and one daughter, Frances.[4]
Jane Constable, married Thomas Rokeby of Mortham, and had issue, including the judge Ralph Rokeby.