The Supreme Court of Tasmania is the highest State court in the Australian State of Tasmania. Together with the Magistrates Court, it forms the judiciary in Tasmania. In the Australian court hierarchy, the Supreme Court of Tasmania is in the middle level, with both an appellate jurisdiction over lower Tasmanian courts, with its own decisions being subject to appeal to the High Court of Australia. The Court has unlimited jurisdiction over Tasmanian civil matters and exclusive jurisdiction over Tasmanian criminal matters.

The ordinary sittings of the Court occur in Hobart, Launceston and Burnie in Tasmania. The Court's Appeal division sits only in Hobart.

The Supreme Court of Van Diemen's Land (as Tasmania was then known) was established by The Royal Letters Patent of 13 October 1823 and commenced activities on 10 May 1824. The Court is the oldest Supreme Court in Australia and predates the Supreme Court of New South Wales, if only by a period of just ten days. The supreme courts of Tasmania and New South Wales were initiated through the New South Wales Act 1823, and this gave those courts jurisdiction over New Zealand. Sir John Pedder, after whom Lake Pedder is named, was the first Chief Justice of the court.

The first counsel to appear before the Court was Joseph Tice Gellibrand, who was appointed Tasmania's first Attorney-General, and took his oaths on the first day of the new Court. The first case before the Court was the trial of William Tibbs, who was found guilty and sentenced for manslaughter, receiving 3 years transportation.

Dorothy Shea, the court's librarian between 1988 and 2016, discovered that the court had the original copies of a large amount of Tasmanian legislation, dating back to 1833. Shea led the project to restore and relocate the legislation to the Tasmanian Archive and Heritage Office; the project was finished in just after Shea's death in 2024.

It has unlimited jurisdiction within the state in civil matters and hears the most serious criminal matters. It is around the middle of the Australian court hierarchy. The Supreme Court consists of a Trial Division (also known as Original Jurisdiction) and an Appeal Division (or Appellate Jurisdiction). When sitting in its appellate jurisdiction in civil matters it is the "Full Court"; for criminal matters it is the "Tasmanian Court of Criminal Appeal".

Appeals from the Appeal Division of the Court are to the High Court of Australia. It was previously possible to appeal decisions of the Court of Appeal or the Court of Criminal Appeal (both parts of the Appeal Division) to the Judicial Committee of the Privy Council in London, but this ceased in 1986 when the Parliament of Australia passed the Australia Act 1986, which terminated all such appeals to the Privy Council from Australian courts, except for those cases pending at that time.

Civil matters involving consent orders, or for disputes involving less than $50,000, are dealt with by the Magistrates Court except in exceptional circumstances.