The Chief Baron of the Irish Exchequer was the Baron (judge) who presided over the Irish Court of Exchequer. This was a mirror of the equivalent court in England, and was one of the four courts which sat in the building in Dublin which is still called The Four Courts.

William Tynbegh, or de Thinbegh (c.1370-1424) was an Irish lawyer who had a long and distinguished career as a judge, holding office as Chief Justice of all three of the courts of common law and as Lord High Treasurer of Ireland. His career is unusual both for the exceptionally young age at which he became a judge, and because left the Bench to become Attorney General for Ireland, but later returned to judicial office.