Henry Munday (1623 – 28 June 1682) was an English physician and schoolmaster.
After enjoying, according to Wood, 'some petit employment' during the civil wars and the Commonwealth, Munday was elected head-master of the free grammar school in his native town in 1656.
To his work as a teacher he added the practice of medicine, and the school suffered in consequence.
He died from a fall from his horse as he was returning home from a visit to John, third baron Lovelace, at Hurley, on 28 June 1682, and was buried in the north chancel of Henley Church.
His estate was administered for 'Alicia and Marie Mundy, minors.'