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.

Academic offices
Preceded byWilliam BertonChancellor of the University of Oxford 1381–1382Succeeded byWilliam Berton
Preceded byWilliam BertonChancellor of the University of Oxford 1382Succeeded byNicholas Hereford
Preceded byWilliam Rugge? or Nicholas HerefordChancellor of the University of Oxford 1383–1388Succeeded byThomas Brightwell
Preceded byThomas CranleyChancellor of the University of Oxford 1391–1392Succeeded byRalph Redruth