The broadcast, narrated by Richard Dimbleby, follows the exact times of the original Coronation, airing from 10:15 to 17:20 on the BBC Parliament channel.
The screening was part of a special season of programming laid on to celebrate and showcase the history behind the memorable day of 2 June 1953, the first Coronation to be televised.
A host of further programmes will celebrate the Queen's 60 years in the build-up to the anniversary, including one-off specials presented by Clare Balding and David Dimbleby. The Queen: A Passion For Horses is a one-off special about Her Majesty’s lifelong love of horses.
Presented by Clare Balding, and featuring exclusive behind-the-scenes access to the Queen as she interacts with her horses in training and their new-born foals, this intimate film will chart Her Majesty's 65 year career as one of Britain's leading breeders.
"The Queen is one of the most accomplished and respected breeders in Britain, with an especially impressive knowledge of thoroughbreds; she has bred the winners of over 1,600 races.
This is a wonderful chance to tell the story of The Queen's abiding passion for horses and her astonishing career in racing," said the TV presenter.
David Dimbleby, whose father presented the Queen's coronation, will also take a step back in time on BBC One's The People's Coronation, revisiting the 1953 Coronation through the people who took part and who celebrated the historical day across the country.