Ian Lindsay Tuxworth (18 June 1942 – 21 January 2020) was an Australian politician, who was Chief Minister of the Northern Territory of Australia from 17 October 1984 until his resignation on 10 May 1986.

Before entering politics, Tuxworth, known affectionately as "Slim", started a soft drink factory in Tennant Creek, called Crystal Waters, with his father and brother Robert (Bob), which was later sold to Coca-Cola Amatil.

As the representative for Barkly, Tuxworth was instrumental in facilitating the government support for the construction of the Mary Ann Dam, north of the town of Tennant Creek.

In 1985, he opposed the federal government's transfer of the ownership of Uluru to its traditional owners, the Aṉangu people and boycotted the hand-over ceremony.

His victory was annulled by the Court of Disputed Returns after a successful challenge from losing independent candidate Maggie Hickey.