Jeremiah McVeagh (1870 – 1932) was an Irish nationalist politician and Member of Parliament (MP) in the House of Commons of the United Kingdom of Great Britain and Ireland.
He was first elected as the Irish Parliamentary Party MP for the South Down constituency at the 5 February 1902 by-election, and was again re-elected at the Irish general election, 1918 when he served until 1922 as member of the Nationalist Party (Northern Ireland).
In 1913 he presented the Jeremiah MacVeagh Cup to the Down County GAA Board. The Cup has been presented to the winners of the annual Down Senior Hurling Championship ever since.