In a statement on Friday, his agent Belinda Wright confirmed that the Rutherglen-born actor died in a hospital in Scotland.
The cause of death was not immediately revealed.
With a career spanning over 43 years, the Bafta Scotland Award-winning actor starred in some of the biggest blockbusters on the big screen, including animated blockbusters, Brave and Ocean’s Twelve, to name a few.
He also appeared in ITV detective drama Cracker and the James Bond films Goldeneye and The World Is Not Enough.
News of the actor’s death was shocked by the industry, and Harry Porter author JK Rowling said she was lucky to have known him.
“I’ll never know anyone remotely like Robbie again. He was an incredible talent, a complete one off, and I was beyond fortunate to know him, work with him and laugh my head off with him. I send my love and deepest condolences to his family, above all his children.”– JK Rowling (Harry Potter, author)