Paul Annesley Gore (c. 1703 – 1780) was an Irish politician. He was the second son of Sir Arthur Gore, 2nd Baronet, and Elizabeth Annesley, and younger brother of Arthur Gore, 1st Earl of Arran. He sat in the House of Commons of Ireland, as a Member of Parliament for Mayo from 1751 to 1760,and for Sligo County from 1765 to 1768.