Robert Rygge (a.k.a. Rugge) (died 1410) was an English medieval churchman, college fellow, and university Chancellor, and archdeacon of Barnstaple in Devon. Rygge was at Exeter College, Oxford, later a Fellow of Merton College, and four times Chancellor of the University of Oxford between 1381 and 1392. He was a Doctor of Divinity and Canon of Exeter. Rygge was later the Archdeacon of Barnstaple from 1399 to 1400. There is some confusion about whether there was a William Rygge (or Rugge) as Chancellor of Oxford University in 1382, but it is likely that this was the same person as Robert Rygge.