Anthony was married to his long time partner Kumari Munasinghe, who is also an actress and a singer. They had two sons and a daughter and the family was settled in
Kadawatha, a Colombo suburb. The daughter, the eldest of three siblings,
Madhavee Wathsala, is a television presenter, actress and a singer. The elder son, Akila Dhanuddara, also is a television presenter, model and actor. His youngest son,
Sajitha Anuththara is also a television presenter, singer and award-winning actor who has played the role of the hunter's son in
Sooriya Arana. Sajitha is a graduate at
University of Kelaniya. He also played the title role in his father's big-budget film
Aba. All three children celebrated their wedding ceremony on 18 January 2019. Anthony was a Catholic but an enthusiast of Buddhist studies. He conducted a show on Sri Lankan Buddhist history and a discussion program on the Buddhist channel.
Accident and death On 2 July 2022, Anthony along with his younger brother Saman Anthony and a friend had been hospitalised following an accident at Thalawa in Anuradhapura after the vehicle they were travelling in collided with a wild elephant at Thalawa. The incident took place when he was returning in his personal vehicle after taking part in the shooting of the movie
Sinhabahu, directed by Dr.
Somaratne Dissanayake. He was admitted to the Anuradhapura Teaching Hospital on the same day and to the Emergency Department of the Colombo National Hospital on the morning of 3 July. At the Colombo National Hospital, he underwent a seven-hour surgery in the intensive care unit. Anthony remained in intensive care, on a ventilator donated by his family, for 458 days (15 months), until 9 October 2023 when he died as a result of his injuries at the age of 65.{{Cite web |title= Veteran actor Jackson Anthony passed away ==Filmography==