He died in hospital on Thursday from health complications after living with Parkinson's disease for many years, his agent said.
"He had a long and happy career spanning more than 45 years," a statement said.
"He was devoted to his wife, three sons, and 10 grandchildren and they will miss him terribly."
Bulloch was best known for playing bounty hunter Boba Fett in The Empire Strikes Back and Return of the Jedi.
The character has since featured in the second season of Star Wars spin-off series, The Mandalorian.