Hugo was born on April 4, 1960 in Nigeria, After spending his childhood in South Africa and the United Kingdom, he arrived in Australia in 1976. Currently, Weaving lives in Sydney with his long-time partner Katrina Greenwood and his two children Holly and Harry. Despite his career in film, Weaving has continued working as a stage actor, regularly appearing in productions by the Sydney Theatre Company.
Weaving had his first major role in the television series Bodyline in 1984. Weaving starred in the Australian film The Dirtwater Dynasty in 1988 and later starred opposite Nicole Kidman in the 1989 film Bangkok Hilton. In 1991 Weaving received the Australian Film Institute's award for "Best Actor" for his performance in the low-budget Proof. He also appeared as Sir John in the 1993 Yahoo Serious comedy, Reckless Kelly, a lampoon of the famous Australian outlaw Ned Kelly. However, Weaving first received attention overseas with the international hit Priscilla, Queen of the Desert in 1994. In 1998, Weaving received the award for "Best Actor" from the Montreal Film Festival for his performance in The Interview. He also did the voice of the Decepticon warlord Megatron in Transformers, Transformers: Revenge of the Fallen, and Transformers: Dark of the Moon.
It was his role as the enigmatic Agent Smith in the 1999 blockbuster The Matrix which made Weaving a globally recognized face. Weaving reprised the role of Agent Smith in the 2003 sequels to The Matrix, The Matrix Reloaded and The Matrix Revolutions. Weaving has continued his success in the role of the Elf-lord Elrond in the three-film adaptation of The Lord of the Rings released between 2001 and 2003, and in The Hobbit films.
- He appeared in the 1988 miniseries The Dirtwater Dynasty, the 1990 film Wendy Cracked a Walnut, the 1994-2002 TV series Halifax f.p. and the 2003 film The Matrix: Revolutions, all of which also featured Bruce Spence.
- He appeared in the 1993 film The Custodian and the 1994 film Exile, both of which also featured Barry Otto (real-life father of Miranda Otto).
- He appeared in the 1995 TV miniseries Bordertown and the 2005 film Little Fish, both of which also featured Cate Blanchett.
- He appeared in the 1997 film True Love and Chaos, which also featured Miranda Otto.
- He appeared in the 2001 film Russian Doll, the 2003 TV miniseries After the Deluge and the 2010 film Oranges and Sunshine, all of which also featured David Wenham.
- He appeared in the 2005 film V for Vendetta, which also featured Stephen Fry and John Hurt.
- He had voice roles both the 2006 animated film Happy Feet and its 2011 sequel Happy Feet Two, both of which also featured the voice of Elijah Wood.
- He had a voice role in the 2010 animated film Legend of the Guardians: The Owls of Ga'Hoole, which also featured the voices of David Wenham and Barry Otto.
- He appeared in the 2010-2018 TV series Rake, which also featured Cate Blanchett, John Noble and Bruce Spence.
- He appeared in the 2011 film Captain America: The First Avenger, which also featured Richard Armitage.
- He appeared in the 2013 film The Turning, which also featured Cate Blanchett and Miranda Otto.
- He appeared in the 2014 film The Mule, which also featured John Noble.
- He appeared in the 2018 TV miniseries Patrick Melrose, which also featured Benedict Cumberbatch and Morfydd Clark.