The jet has been painted in the colours used at the time of the battle, which ran from July to September 1940.
It also bears a red devil emblem in honour of the only RAF Fighter Command pilot awarded a Victoria Cross in the conflict.
It was revealed during a ceremony at RAF Coningsby, Lincolnshire.
The Battle of Britain was the German air force's attempt to gain air superiority over the RAF. Their ultimate failure was one of the turning points of the Second World War and prevented Germany from invading Britain.
During the unveiling ceremony, Wing Commander James Heald  from RAF Coningsby, said: "What we've tried to do is recreate the paint job of the Hurricane flown by Flt Lt James Nicolson, who was the only Victoria Cross winner of the Battle of Britain.
"He was damaged and wounded and was in the process of bailing out when an enemy aircraft appeared in front of him," he said.
"So he climbed back in - shot down the enemy aircraft - then continued with his bail out."
The commemorative Typhoon will fly alongside a Battle of Britain Memorial Flight Spitfire at air shows during the summer.
It will be flown by Flt Lt Ben Westoby-Brooks, who said: "It is a great privilege to fly this extraordinary aircraft in recognition of the sacrifices made by our predecessors 75 years ago.
"Their task of securing the skies was critical in the summer of 1940 and it's an honour to pay tribute to those few brave airmen who gave their all when the stakes were so high."

The National Institute for Health and Care Excellence (NICE) hopes they will end a wide variation in the diagnosis and treatment of the disease.
They include advice on diagnosing how far the cancer has progressed, identifying the best treatment, and improvements to follow-up care.
Melanoma is a form of skin cancer that claims more lives than any other.
In 2012, the UK saw more than 2,000 deaths from melanoma and the number of melanoma cases is growing faster than any of the 10 most common cancers.
Experts believe this is largely down to the boom in foreign holidays over the past 40 years and, more recently, a big increase in the use of sunbeds.
Prof Mark Baker, from NICE, said everyone wants to enjoy the sun, but there are safe ways to do so.
"Using a sunscreen with a high SPF, spending time in the shade between 11:00 and 15:00, ensuring you don't burn, and covering up with a hat, T-shirt and sunglasses.
"But overexposure to ultraviolet light from the sun can have very serious repercussions.
"Melanoma causes more deaths than all other skin cancers combined. Its incidence is rising at a worrying rate, faster than any other cancer.
"This new guideline addresses areas where there is uncertainty or variation in practice, and will help clinicians to provide the very best care for people with suspected or diagnosed melanoma, wherever they live."
Experts warn that even though more people are now aware of the dangers of too much sun, it will be a generation or so before the number of melanoma deaths starts to fall.
A specially painted Eurofighter Typhoon commemorating the 75th anniversary of the Battle of Britain has been unveiled.
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New guidelines for diagnosing and treating melanoma skin cancers have been issued to the NHS in England.