Rt Hon John Inglis, Lord Glencorse FRSE DCL LLD (21 August 1810 – 20 August 1891) was a Scottish politician and judge. He was Lord President of the Court of Session (1867–1891).
The youngest son of Rev John Inglis DD (1761–1834), minister of Old Greyfriars Kirk, and his wife, Maria Moxham Passmore, Inglis was born on 21 August 1810 at 43 George Square in Edinburgh. He attended the High School in Edinburgh. He then studied Law at the University of Glasgow from whence he went to Balliol College, Oxford. He graduated BA in 1834 and MA in 1836.
He was admitted a member of the Faculty of Advocates in 1835, and in 1852 he was made Solicitor General for Scotland in Lord Derby's first ministry, three months later becoming Lord Advocate, a post he held from May to December of that year. In the summer of 1857, he famously served as counsel for Madeleine Smith, a Glasgow socialite who was the defendant in a sensational murder trial. Smith was freed with a verdict of "not proven".
In March 1858 he resumed this office in Lord Derby's second administration, being returned to the House of Commons as member for Stamford. Again his tenure was brief, leaving office in July 1858. He was responsible for the Universities (Scotland) Act 1858, and in the same year he was elevated to the bench as Lord Justice Clerk, with the judicial title Lord Glencorse. In 1867 he was made Lord Justice General of Scotland and Lord President of the Court of Session. He was made a Privy Counsellor in 1859, and awarded a Doctor of Civil Law (DCL) by the University of Oxford in 1859.