Wheldon was born in Prestatyn, Denbighshire, Wales and educated at Friars School, Bangor. His father, Sir Wynn Wheldon, was a prominent educationalist, who had been awarded the DSO for gallantry in the First World War. His grandfather, Tomos Jones Wheldon, had been the Moderator of the Calvinist Methodist Church in Wales. His mother, Megan Edwards, was an accomplished pianist.
On the outbreak of war in 1939 Wheldon enlisted in the Buffs. He was commissioned into the Royal Welch Fusiliers in 1940, but subsequently volunteered for the airborne forces and joined the Royal Ulster Rifles, with whom he flew into Normandy. He was awarded the Military Cross for an act of bravery on D-Day + 1.
After the war Wheldon joined the Arts Council of Wales, and then in 1951 became the Arts Council's administrator for the Festival of Britain, work for which he was appointed an Officer of the Order of the British Empire (OBE) in 1952.
In 1952 he joined the BBC as a publicity officer, but he was keen to make programmes, and he made his first appearance on television running a nationwide conker competition, and thence became a familiar face on children's TV with his programme All Your Own. This would become highlighted in years to come when future Led Zeppelin guitarist Jimmy Page was a guest on his show in 1957.
He also began to produce and present adult programmes, such as Men in Battle with Sir Brian Horrocks, and Portraits of Power with Robert McKenzie. He was also responsible for Orson Welles' Sketchbook (1955).
It was with the arts magazine programme Monitor that Wheldon truly made his mark on the cultural scene. He was the editor of the programme – in the sense in which a newspaper has an editor, a title still employed by Melvyn Bragg on The South Bank Show – and he set about molding a team of exceptional talents, including John Schlesinger, Ken Russell, Patrick Garland, David Jones, Humphrey Burton, John Berger, Peter Newington, Melvyn Bragg, Nancy Thomas and Alan Tyrer.
Monitor ranged in subject over all the arts — the hundredth show was a film directed by Ken Russell and written by Wheldon, the celebrated Elgar. Monitor was ground-breaking because it featured films, sometimes just one full-length item, using actors to re-enact the subjects' lives. Prior to this, only photos or location shots had been used in programmes.
Wheldon's Monitor lasted until he had "interviewed everyone I am interested in interviewing", and he was succeeded by Jonathan Miller for the series' last season.
In 1967 he was invited to deliver the MacMillan Memorial Lecture to the Institution of Engineers and Shipbuilders in Scotland. He chose the subject 'Perspectives on Television'.
Wheldon now entered BBC management, becoming by turns Head of Documentaries and then Controller, BBC1. In 1968 he became Managing Director, BBC TV, a position he held until compulsory retirement in 1975. During this time he again gathered a team of the talents about him, promoting fellow programme makers such as David Attenborough and Paul Fox to high executive office, and the period of his administration, which has come to be known as the 'Golden Age of British Television,' included programmes such as Steptoe and Son, Till Death Us Do Part, Dad's Army, Alistair Cooke's America, Kenneth Clark's Civilisation, Jacob Bronowski's The Ascent of Man (these three immensely successful in America, too), and plays by Dennis Potter and David Mercer among many others.
After he retired from management Wheldon co-wrote, with J. H. Plumb, and presented Royal Heritage, a thirteen-part series on the history of the British monarchy as expressed through the Royal Collections. Produced by Michael Gill, it achieved immense popularity ratings in 1977, the year of the Queen's Silver Jubilee. Two other major documentaries followed, The Library of Congress and Destination D-Day.
Wheldon was knighted in 1976. Following his retirement from the BBC he became Chairman of the Court of the Governors of the London School of Economics, where he had read economics before the war. He disarmed potential sponsors of the school by eschewing flattery and opening negotiations with the bald statement that what he was after was their cash. He was also a formidable and active President of the Royal Television Society (RTS). An RTS Memorial Lecture in his name by a distinguished broadcaster is televised annually. In 2011 Bettany Hughes gave the lecture, and Brian Cox gave the lecture in 2010. Other speakers have included David Attenborough, Jeremy Isaacs and, in 2005, the writer Paul Abbott. In addition to this, the British Academy of Film and Television Arts (BAFTA) dispenses a Huw Wheldon Award for Specialist Factual Programme. There are also Wheldon bursaries and awards at the LSE and the University of Wales, Bangor.
Sir Huw's lasting influence, other than as a programme maker, which was considerable, probably lies in the ways in which he articulated the needs and requirements of public service broadcasting. "To make the popular good and the good popular", "the aim is not to avoid failure, but to attempt success", "multiplicity does not mean choice", were among his favourite sayings. He also coined the term "narrowcasting".
Sir Huw Wheldon was highly regarded in the United States, where he had many friends, one of whom, Senator Daniel Patrick Moynihan, caused Norman Podhoretz's obituary of his friend Wheldon, a version of which had first appeared in Podhoretz's syndicated column, to be entered into the Congressional Record.
Wheldon was married to the novelist Jacqueline Wheldon. They had three children. Sir Huw's son, Wynn Wheldon (named after his grandfather), is his biographer.