Gregory Joseph Craven is an Australian academic. He was vice-chancellor and president of the Australian Catholic University from February 2008 until January 2021.

Craven was educated at St Kevin's College in the Melbourne suburb of Toorak. He graduated from the University of Melbourne with a BA (1980); an LL.B (1981); and an LL.M (1984).

The literary critic Peter Craven is his older brother.

Craven taught at Monash University from 1982 to 1984. He was appointed director of research for the Legal and Constitutional Committee of the Victorian Parliament, spending three years in the position between 1985 and 1987.

He was then appointed associate professor at the University of Melbourne. He then served as Crown Counsel to the Attorney-General for Victoria from 1992 until 1995, briefly returning to his previous post before being appointed professor of law at Notre Dame University in Fremantle, Western Australia, in 1996.

He then became deputy vice-chancellor (strategy and planning) at Curtin University of Technology in Perth. He also served as executive director of the John Curtin Institute of Public Policy.

Craven became vice-chancellor and president of the Australian Catholic University in February 2008. His initial term was set to finish in 2013, but was extended to March 2018. On 8 April 2020, the ACU chancellor, John Fahey, announced Craven's planned retirement, to become effective in January 2021. His successor was named as Zlatko Skrbis.

Craven has researched and written on constitutional law. He is a regular columnist for The Australian newspaper.