All 11 Supreme Court justices will sit as a panel to hear the Government's appeal on Brexit.
It is an unprecedented event in the history of the UK's highest court.
They will be chaired by 68-year-old Lord Neuberger, who was appointed President of the Supreme Court in 2012, the second person to hold that office since 2009 when it replaced the Appellate Committee of the House of Lords.
Educated at Westminster School and Oxford, he worked at the merchant bank, N M Rothschild & Sons until he was called to the Bar in 1974. He previously held the post of Master of the Rolls and has led an investigation for the Bar Council into widening access to the barrister profession.
Deputy President Lady Hale, 71, became the UK's first woman Lord of Appeal in Ordinary - or Law Lord - in 2004 after a varied career as an academic lawyer, law reformer and judge, and became the first woman justice of the Supreme Court in 2009.
The Cambridge graduate retains her links with the academic world and, as a home maker as well as a judge, says she has thoroughly enjoyed helping the artists and architects create a new home for the Supreme Court.
Lord Mance, 73, became a Law Lord in 2005. He studied at Oxford and spent time with a Hamburg law firm before practising at the commercial bar.
He represented the UK on the Council of Europe's Consultative Council of European Judges from 2000 to 2011 and currently chairs the executive council of the International Law Association and the Lord Chancellor's Advisory Committee on Private International Law.
Lord Kerr, 68, served as Lord Chief Justice of Northern Ireland from 2004 to 2009, and was the last Law Lord appointed before the creation of the Supreme Court.
Educated at St Colman's College, Newry, and Queen's University, Belfast, he was called to the Bar of Northern Ireland in 1970, and to the Bar of England and Wales in 1974.
Lord Clarke, 73, spent 27 years at the Bar, specialising in maritime and commercial law and became a Recorder in 1985, sitting in both criminal and civil courts.
He conducted the Marchioness and Bowbelle Inquiries and was appointed Master of the Rolls in 2005. He is the first justice to be appointed directly to the Supreme Court.
Lord Wilson, 71, studied at Oxford and, after being called to the Bar in 1967, practised almost exclusively in the field of family law for the next 26 years.
From 1993 until 2005 he was a judge of the Family Division and then in the Court of Appeal until, in 2011, he became a justice of the Supreme Court.
Accomplished historian Lord Sumption, 67, read history at Magdalen College, Oxford, and was a Fellow there for four years, before being called to the Bar in 1975, where he covered all aspects of commercial, EU and competition, public and constitutional law.
He was appointed as a judge of the Courts of Appeal of Jersey and Guernsey in 1995 and became a Supreme Court justice in 2012.
Lord Reed, 60, is one of the two Scottish justices of the Supreme Court. After studying at Edinburgh and Oxford, he was admitted to the Faculty of Advocates in 1983, where he undertook a wide range of civil work.
He served as a senior judge in Scotland for 13 years and has sat as an ad hoc judge of the European Court of Human Rights.
Lord Carnwath, 71, studied at Cambridge and was called to the Bar in 1968. He served as Attorney General to the Prince of Wales from 1988 to 1994.
While a judge of the Chancery Division, he was also chairman of the Law Commission and, between 2007 and 2012, was Senior President of Tribunals.
Lord Hughes, 68, was called to the Bar in 1970 and served as a Recorder of the crown court from 1985 to 1997 before becoming a High Court judge.
In 2006, he moved to the Court of Appeal, serving as Vice President of its criminal division from 2009 until his appointment to the Supreme Court in 2013.
Lord Hodge, 63, was admitted to the Faculty of Advocates in 1983 and between 1997 and 2003 was a part time law commissioner at the Scottish Law Commission.
Before his appointment to the Supreme Court in 2013, he was the Scottish judge in Exchequer causes, one of the Scottish intellectual property judges, a judge in the Lands Valuation Appeal Court and a commercial judge.