The First Carnell Ministry was the fifth ministry of the Government of the Australian Capital Territory, and was led by Liberal Chief Minister Kate Carnell and her three successive deputies, Tony De Domenico, Gary Humphries and Trevor Kaine. It was sworn in on 15 March 1995 after Carnell led the Liberal Party to its first ever election victory in the 1995 Australian Capital Territory general election. (The party had previously held office in an Alliance with Residents Rally from 1989 to 1991, with Kaine as Chief Minister, brought about as the result of a successful no-confidence motion in the Follett Labor government.)
