Heap had a daughter with Barbara Bradshaw in 1981. He married the actor
Olwen Fouéré in 1984 with whom he had two children, a daughter Morgane and a son JoJo, who both died in infancy. Heap was diagnosed with
Corticobasal syndrome, a rare neurodegenerative disease, in 2024 and died on 30 December 2025, at the age of 76. He is survived by his wife Olwen, his daughter Laura Bradshaw-Heap and his two grandchildren Olivia and Todor Hadzi-Jovancic ==Selected filmography==