Black was born and raised in Sydney, New South Wales, Australia. She was educated at the Kambala Girls School, in Sydney, NSW. Black has spent most of her life in Australia, New Zealand, and North America. She is most famous to United States and European audiences for her role as Aeryn Sun in the television show, Farscape.
Claudia has acted in Australian and New Zealand television and movies. She portrayed a hermaphrodite named Jill Mayhew in the Australian television series Good Guys Bad Guys. She also had a leading role in the New Zealand soap opera City Life playing the role of Greek lawyer Angela Kostapas.
For her roles in Farscape, Black was nominated for a Saturn Award in the Best Actress category in both 2001 and 2002, and won the award in 2005. She has appeared in the feature films Queen of the Damned and Pitch Black. Black also appeared as Vala Mal Doran in Stargate SG-1 as a regular cast member in the tenth and final season, and previously had a role as a recurring character in season 8 and season 9. Her first appearance was in the episode “Prometheus Unbound“. Black has starred in two Stargate SG-1 Direct-to-DVD movies, Stargate: The Ark of Truth and Stargate: Continuum. In 2004, she was voted “#7 Hottest Scifi Babe” by Scifi WorldNet.
In the NBC TV show Life (2007), Black was cast in the supporting role of Jennifer Conover for the initial pilot. Due to Black’s second pregnancy, the part was recast and the role was given to the actress Jennifer Siebel when the series was bought by the TV network. NBC still used footage of Black, and none of Siebel, when promoting the TV series’ debut.
Black has also appeared in theater. She once played Portia in a tour of the Merchant of Venice. She has also had parts in Spotlight On Women, The Picture of Dorian Gray, Loose Ends and Pick Ups for the Belvoir street theatre; Little Women and The World Knot for the Bicentennial Opera.
Black is also a professional singer of jazz and classical music.