Hungerford was probably the son of Sir Anthony Hungerford of Down Ampney, Gloucestershire and his first wife Jane Darrell, daughter of Sir Edward Darrell of Littlecote, Wiltshire. He was a commissioner for relief for Berkshire in 1550. In 1554, he was elected Member of Parliament for Great Bedwyn.
Hungerford made his will on 13 September 1572 and an inventory of his estate was produced in November 1572. He asked to be buried in Welford church.
Hungerford made a marriage settlement in June 1555, at the time of his marriage to Dorothy Allen, daughter of Robert Allen of London. They had at least a son and five daughters. His brother John Hungerford was also MP for Great Bedwyn.