Francis Wyndham may refer to:
- Sir Francis Wyndham, 1st Baronet (c. 1612–1676), English soldier and politician
- Francis Wyndham (judge) (died 1592), English politician
- Francis Wyndham (writer) (1924–2017), English author, literary editor and journalist
- Francis Wyndham (MP for Gloucester) (c. 1670–1716)