HMS Dorsetshire was a 70-gun third-rate ship of the line of the Royal Navy, built at Chatham Dockyard to the draught specified by the 1745 Establishment, amended in 1754, and launched on 13 December 1757.
At the action of 29 April 1758, Dorsetshire defeated and captured French ship of the line in the Bay of Biscay.
Dorsetshire served until 1775, when she was broken up.