Sir Edgar Cuthbert Fremantle Whitehead, KCMG OBE (8 February 1905 – 22 September 1971) was a Rhodesian politician and statesman who served as Prime Minister of Southern Rhodesia from 1958 to 1962.

He had a long and varied political career, serving as a longstanding member of the Southern Rhodesian Legislative Assembly and in a variety of minister posts over the course of nearly three decades.

Following a cabinet revolt which brought about the resignation of the liberal Garfield Todd in 1958, Whitehead was chosen as the compromise candidate for his United Federal Party's leadership.

Recalled from Washington, a by-election for the seat of Hillside in Bulawayo was held on 16 April 1958 to elect him to parliament, which Whitehead lost the opposition Dominion Party candidate, Jack Pain.

There was a relaxation of racial discrimination laws and a drive to enroll black voters during his period of office, but this was done against a background of civil unrest and a tightening of security measures.

The conservative Rhodesian Front, led by Winston Field, defeated the UFP in the 1962 elections, riding upon opposition to the new constitution and Whitehead's relatively liberal views on race, winning 35 of 50 white seats.

Alec Douglas-Home in his memoir 'The Way the Wind Blows' noted his view of Whitehead as being very deaf, very blind and able to consume 13 beers in an evening without leaving the room.