The actor insisted on performing the stunt during a fight scene despite having pain in the area and production has now been shut down for six weeks because of the resulting injury, reports The Daily Telegraph.
Co-star Tamer Hassan said: "We had been rehearsing for four weeks every night and Richard was great, but he had a problem with his shoulder.
"I said, 'Look Richard, just slip in where you can'. But, oh no, not Richard, he went, 'I want to do it'. He did it and dislocated his shoulder."
He added; "The production was shut down for six weeks because of Richard's shoulder and I just got told on Monday that he is going to come back and do it himself again. So fair play to him, and he looks as beautiful as he always did."
The Double is due to be released in 2011.