Baber is an English surname that may refer to:
- Alice Baber, American painter
- Ambrose Baber, American doctor and diplomat
- Asa Baber, American author
- Billy Baber, American football player
- Edward Baber (MP), English politician
- Edward Colborne Baber, English orientalist
- Esther Mary Baber, New Zealand headmistress
- Gareth Baber, Welsh rugby footballer
- Harriet Baber, American philosopher
- Henry Hervey Baber, English philologist
- John Baber (footballer), English footballer
- John Baber (MP), English lawyer and politician
- Sir John Baber physician to Charles II
- Joseph Baber, American composer
- Michael Baber, American musi editor
- Roman Baber, Canadian politician
- Zonia Baber, American geographer and geologist