Edward Henry Higham (26 July 1846–20 April 1885) was a Member of the Western Australian Legislative Council from 1880 to 1884.
The son of a baker, Edward Higham was born in Brackley, Northamptonshire, England on 26 July 1846. In 1853 his family emigrated to Western Australia, settling in Fremantle and opening a shop. After the death of his father, Higham left school in 1859 to help his mother run the shop. Around 1870 he became a partner in the firm.
From 1870 on, Higham became increasingly involved in public life. From 1872 to 1876 he served on the Fremantle Town Council, and in 1873 he became a member of the Fremantle Chamber of Commerce. That year he was also chairman of the Fremantle Roads Board. He was chairman of the Fremantle Building Society for ten years from 1875, and a member of the Fremantle Board of Education in 1876. From 1878 until 1882, Higham against served on the Fremantle Town Council, becoming its chairman in 1883. On 10 February 1880, Edward Higham became a Member of the Western Australian Legislative Council, holding the seat of Fremantle until 21 October 1884.
In April 1880, Higham married Alice Glyde, daughter of George Glyde and later wife of William Pearse. They would have three sons and a daughter. Higham died at Fremantle on 20 April 1885. His brother John became a Member of the Western Australian Legislative Assembly. Edward Higham is distantly related to the British actor and explorer Tim Higham, also known as Tim FitzHigham FRSA, FRGS.