The actor was taken off life support on March 19.
According to reports, Grant was rushed to the hospital after being found unconscious at the train station and was declared brain dead. His family made the difficult decision to take him off life support on Sunday, March 19.
In a statement to The Sun, his daughter Sophie, 28, said, "I'm devastated. My dad was a legend in so many ways. He always brought a smile and laughter to everyone's face. He would do anything for anyone and was a massive Arsenal fan. He was an actor, father, and grandad."
His girlfriend Maria Dwyer also shared a statement with the tabloid, writing, "Paul was the love of my life. The funniest man I know. He made my life complete. Life is never going to be the same without him."
Grant, who had dwarfism, made his acting debut in Return of the Jedi in 1983 as an Ewok. Three years later, he appeared in Labyrinth as one of the goblins and was Hoggle's stunt double. He also was a goblin in Harry Potter and the Sorcerer's Stone.
Stacy, Grant's stepdaughter, started a GoFundMe page to cover funeral costs. The family is aiming to raise £5,000.