Sir James Herbert Cory, 1st Baronet (2 February 1857 – 2 February 1933) was a Welsh politician and ship-owner.
He was born at Padstow, the younger son of John Cory (founder of Cardiff-based firm "John Cory, Sons & Co" – not to be confused with John Cory, founder of Barry Docks).
He was Sheriff of Glamorgan in 1913 and served as Conservative MP for the Cardiff constituency from 1915 to 1918 and for Cardiff South from 1918 to 1923. He was created a baronet in 1919. In his time he was a director of 35 different companies, and gave much of his fortune to charity, particularly the King Edward VII Hospital and the Hamadryad Seamans Hospital in Cardiff.
Cory married twice, firstly to Elizabeth Hoskin Wills, with whom he had five children including Herbert George Donald Cory who became the 2nd Baronet. He had two children via his second marriage with Elizabeth Cansh Walker.
He died on his 76th birthday in February 1933 and was buried at Cathays Cemetery, Cardiff.