Sir Peter Delmé (died 1728) was a notable British figure in commerce and banking in the early 18th century.

Delmé was the third son of Pierre Delmé and Sibella Nightingale. He became a London merchant with trade to Turkey and Portugal, and at the time of his death was reputedly the "greatest exporter of woollen goods of any one person in England."^[1] He served as an Alderman of Langbourn Ward and was knighted in 1714. He was made Sheriff of London for 1717–18 and elected Lord Mayor of London for 1723–24.

He became a Director of the Bank of England in 1698 and served as Deputy Governor from 1713 to 1715^[2] and as Governor from 1715 to 1717, after which he resumed his seat in the Court of Directors until his death in 1728.

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He married Anne Machan, daughter of Cornelius Machan, Esq. and Elizabeth Penton, on 26 January 1709. They had four children (3 sons and a daughter):

• Anne Delmé (died June 1794), who married Henry Liddell, 1st Baron Ravensworth.^[3]
• Peter Delmé (28 February 1710 – 10 April 1770), who became a politician and whose son, also called Peter Delmé, also became a politician.

He died 4 September 1728 at his home in Fenchurch Street, London, England. In his will, he left a substantial estate to his children and a bequest to Morden College.^[4] An ornate memorial in his honour is in the Guild Church of St Margaret Pattens.^[5]