His daughters' statement said "it is with heavy hearts that we announce the death of our extraordinary father".
"It has been, and forever will be, an honour and a privilege to be his daughters, and to have witnessed firsthand the impact both he and his work have had on so many."
They also said they knew "how dearly he will be missed by friends, colleagues and fans of the show he was in", adding that he "loved his job very much" and "always considered himself incredibly lucky".
His family acknowledged that "his legacy will live on" and said they considered themselves "lucky" to have watched him doing what he loved throughout his career.
Head's other credits included playing Geoffrey Howe in The Iron Lady and appearing in Doctor Who, Persuasion, The Inbetweeners and Manchild.
He also starred in Ted Lasso from 2020 as former Richmond FC owner Rupert Mannion, the ex-husband of Hannah Waddingham's character Rebecca Welton. Brett Goldstein, their co-star and a writer on the show, said: "Anthony Head was a brilliant actor who played the worst person in the world, which was an incredible skill because he was the best person."
Head first found fame in the UK in the 1980s as the face of Nescafe coffee adverts on TV. He was part of the Gold Blend couple alongside Sharon Maughan, with their coffee-themed romance ads becoming popular between 1987 and 1993.
Head starred in numerous popular British shows during his career, also including Motherland, Silent Witness and Doctor Who. His last acting credits included Bridgerton in 2022, in which he starred in one episode in series two. He joined the cast of BBC Radio 4's long-running drama The Archers in 2018, playing Robin Fairbrother. The actor also enjoyed a long stage career, performing in several iterations of The Rocky Horror Show and musicals such as Godspell and Chess.
Born in Camden, London, in 1954, Head's mother was actress Helen Shingler, best known for BBC TV series Maigret, and his father Seafield Head, a documentary maker. He trained at the London Academy of Music and Dramatic Art (LAMDA).
Head lost his long-term partner Sarah Fisher, who was an animal welfare campaigner, in December 2025 at the age of 61. His daughters Emily, 37 and Daisy, 35, both work as actors - with Emily best known for playing Carli D'Amato in The Inbetweeners. Daisy has appeared in TV shows including Harlots and Shadow and Bone. His brother Murray is also an actor, who appeared in the Oscar-nominated 1971 film Sunday Bloody Sunday and the musical Chess.
