Glemham is a surname. Notable people with the surname include:

Edward Glemham (died c. 1594), English voyager and privateer Sir Charles Glemham (born 1576), English courtier and politician Sir Henry Glemham (died 1632), English politician Henry Glemham (c. 1603–1670), English royalist churchman Sir Thomas Glemham (c. 1594–1649), English Royalist commander

See also Great Glemham, a village in Suffolk, England Little Glemham, a village in Suffolk, England Glemham Hall, an Elizabethan stately home near Little Glemham Glenham (disambiguation)