It was buried below a secret exit on the orders of King George VI to prevent the jewels falling into Nazi hands.
Royal commentator Alastair Bruce, who presents the BBC One documentary, said she did not know the story until he told her. Even though several of her family members seemed befuddled by Graham, his fiery preaching style piqued the queen's curiosity, and she asked for a private meeting with him.
The programme, a one-hour documentary which forms part of the Royal Collection series, also includes the Queen's personal footage showing, a voiceover remarks, "a more informal mood behind the scenes".
A trapdoor used to access the secret area where the tin box was kept still exists today.
As she looks back on the memorable event that took place in June of 1953, the monarch also recounts humorous tidbits like when her coronation dress got caught on the carpet, and reflects on what it was like to witness one coronation and then receive the crown herself.
The Queen rarely gives televised interviews, but the programme comes amid a revolution of the monarchy over the past 12 months, whereby the younger senior royal members have made regular TV appearances and her grandson Prince Harry is set to Wednesday actress and divorcee Meghan Markle, who is older than him and a woman of colour. She jokes that she can't look down while wearing the Imperial State Crown - which weighs 2 pounds 13oz (1.28 kilograms).
Mr Bruce was able to "gently" nudge the Queen to elicit further insights which "worked very well" during the 90-minute encounter, which he described as a "conversation".
The Queen said: "Yes, fortunately my father and I have about the same sort of shaped head".
The crown was made for George VI's coronation in 1937 and is set with 2,868 diamonds, 17 sapphires, 11 emeralds and hundreds of pearls, including four known as Queen Elizabeth I's earrings.
He added that Her Majesty had been aware that the jewels were hidden at Windsor by 1940, when the government was trying to hide stocks of water, but had no idea where they were buried - or that they were hiding in a biscuit tin. "Because if you did, your neck would break and it [the crown] would fall off", she said smiling. "I mean, it just remains itself". "Otherwise, they're quite important things". The Queen said the crown had been "very unwieldy" when her father wore it. "They hadn't thought of that".
A new BBC documentary, The Coronation, reveals the true story.