He was best known for being the first actor to play the bounty hunter Boba Fett in the intergalactic film series.
Jeremy died in hospital on Thursday from health complications after many years living with Parkinson’s disease.
His agent confirmed news of his death in a statement, which read: “We are very sad to announce the death of actor Jeremy Bulloch earlier today.
“He died peacefully, in hospital, surrounded by his family, from health complications following his many years living with Parkinson’s disease.
“Jeremy was best known for the role of Boba Fett in the original Star Wars trilogy.
“He had a long and happy career spanning more than 45 years.
“He was devoted to his wife, three sons, and 10 grandchildren and they will miss him terribly.
“We ask that their privacy be respected at this very difficult time.”
The Leicestershire-born star also had roles in James Bond film Octopussy and featured in a number of Doctor Who episodes in the 70s.
He went on to appear in Star Was as Boba Fett in The Empire Strikes Back and Return Of The Jedi.
Mark Hamill, who starred as Luke Skywalker in Star Wars, was among the first to pay tribute, calling Jeremy “the quintessential Englishman”.
He tweeted: “A fine actor, delightful company & so kind to everyone lucky enough to meet or work with him.
“I will deeply miss him & am so grateful to have known him.”
Billy Dee Williams, who starred as Lando Calrissian in the Star Wars films, tweeted: “Today we lost the best bounty hunter in the galaxy. RIP Jeremy Bulloch.”
The official Twitter account for the Star Wars franchise also paid tribute.
“Jeremy Bulloch, whose unforgettable performance as notorious bounty hunter Boba Fett has captivated audiences since he first appeared in 1980’s Star Wars: The Empire Strikes Back, has sadly passed away,” it said.
“He will be remembered not only for his iconic portrayal of the legendary character, but also for his warmth and generous spirit which have become an enduring part of his rich legacy.”