Charles Edmund Rumbold (11 August 1788 – 31 May 1857) was a British Whig politician.
He was the fifth son of Sir Thomas Rumbold, 1st Baronet and his second wife Joanna Law, daughter of Edmund Law, Bishop of Carlisle. Rumbold was educated at Oriel College, Oxford and went then to Trinity College, Cambridge. In 1812, he began his Grand Tour and returned a year later.
Rumbold was elected as Member of Parliament (MP) for Great Yarmouth in 1818, a seat he held until 1835. In the general election of 1837 he returned to the House of Commons and sat for the constituency again until 1847. In a by-election in the following year, he stood successfully a third time for Great Yarmouth and represented it until his death in 1857.
In 1834, he married Harriet, daughter of John Gardner and had by her three sons. He died at Brighton, aged 68 and was buried at Preston Candover in Hampshire.