From Tutti Frutti to Harry Potter, his performances thrilled audiences across the decades.
His agent described him as a "unique talent", and said his role as Hagrid "brought joy to children and adults alike all over the world".
His co-stars have spoken of his incredible talent, and his warmth – and how he made them laugh on and off screen or stage.
These pictures from our archives reveal a glimpse of the many facets of Coltrane’s life – from television to politics – and some haven’t been seen for many years.
5. Remembering Robbie Coltrane
Robbie Coltrane pictured supporting students at Edinburgh's College of Art who had occupied the college overnight to protest against the proposed Student Loans scheme in February 1989. Photo: Albert Jordan
6. Remembering Robbie Coltrane
April 2014 - at the opening of Glasgow School of Art's new Reid Building. Robbie Coltrane and Muriel Gray. Photo: John Devlin
7. Remembering Robbie Coltrane
Actors Katy Murphy and Robbie Coltrane with playwright John Byrne (middle) publicise 'Tutti Frutti', his new series for the BBC, in February 1987. Photo: Bob Nicholson
8. Remembering Robbie Coltrane
At the launch party for premier of The Thomas Crown Affair , Robbie with Pierce Brosnan and Robert Carlyle. Photo: PAUL RAEBURN