Peter Delmé (19 December 1748 – 1789) was an English Member of Parliament for the constituency of Morpeth in 1774–84.
Delmé's grandfather was a wealthy London banking figure, Sir Peter Delmé, while his father, also called Peter, served as MP for Ludgershall from 1734 to 1741, and for Southampton from 1741 to 1754.