According to the Hollywood Reporter one of the injured men is second-unit director Terry Madden, who suffered multiple fractures.
During the filming of a stunt scene in Sölden, Austria, a car veered off the road and crashed into a camera platform.
The Austrian Press Agency reports that one British man was caught between the car and the platform and seriously injured, and two other crew members where thrown off the platform.
One also suffered serious injuries and the third man escaped with only minor injuries. Two of the men were airlifted to hospital and the third was treated by medics at the scene.
Police say that the three men, aged 28, 52 and 63 are all British, as is the man who was driving the car and lost control of the vehicle.
This is the second accident to hit Spectre. Last week James Bond star Daniel Craig injured his knee while shooting a fight scene at Pinewood Studios in London.
Filming for the 24th James Bond film is taking place in various parts of Europe including Austria, London and Rome.
Associate producer Gregg Wilson has promised that Austria would be the site of “one of the major action sequences of the movie, a jewel in the crown so to speak”.
Spectre is directed by Sam Mendes and opens in the UK on October 23rd and worldwide two weeks later.
It also stars double Oscar-winner Christoph Waltz as the villain, Lea Seydoux, Naomie Harris and Dave Bautista.