The cars, including the white Lotus Esprit from The Spy Who Loved Me which famously doubled as a submarine, will feature in the Bond in Motion exhibition.
Also on show will be the Rolls-Royce Phantom III from Goldfinger and the Aston Martin DB5 from GoldenEye.
The exhibition, at the museum's Covent Garden site, will also include props, miniature models and action sequence boards from all the 007 films.
The secret agent, first brought to life in a series of novels by Ian Fleming, has been one of the great cinema success stories and continues to go from strength to strength.
The last film, Skyfall, broke box office records, taking £103 million to become the biggest earner in UK cinema history.
The film, directed by Sam Mendes and starring Daniel Craig as the secret agent with a licence to kill, earned more than one billion US dollars worldwide.