Curry's father, James, was a chaplain in the Royal Navy, and his mother, Patricia, was a school secretary. His older sister, Judy, was a concert pianist. Curry was born and brought up in Grappenhall, Warrington, and attended Lymm High School, until his father's death in 1958. Curry's family then moved to South London, but Curry himself went to boarding school and attended Kingswood School in Bath, Somerset. As a child, he developed into a talented boy soprano (treble). Deciding to concentrate on acting, Curry graduated from the University of Birmingham with a combined degree in English and drama.
- Although the Sorcerer appeared in "Randy Cunningham: 13th Century Ninja", Tim wasn't credited for it.