HMS Norfolk was a 74-gun third-rate ship of the line of the Royal Navy, and the second ship to bear the name. She was built by Adrian Hayes at Deptford Dockyard and launched on 8 December 1757.
Norfolk emulated her predecessor () by reinforcing the West Indies, where she escorted a fleet that was transporting vital stores and six infantry regiments to that region.
In September 1758 command passed to Captain Robert Hughes and under Hughes in January 1759 a successful attack was made on Guadeloupe.
In September 1760 under Captain Richard Kempenfelt, she was part of the Siege of Pondicherry (1760).
thumb|Kempenfelt (left) receives orders during the Battle of Manila on Norfolk from his Admiral [[Sir Samuel Cornish, 1st Baronet|Samuel Cornish (right). Sitting between them is the Admiral's secretary Thomas Parry, a future director of the EIC. Artist, Tilly Kettle.]]
On 10 February 1761 she took part in the capture of Mahe. On 24 September 1762 she was part of the Battle of Manila.
She became flagship of the Commander-In-Chief East Indies Station, Rear-Admiral Charles Steevens and his successor Vice-Admiral Samuel Cornish. Norfolk was decommissioned in 1764, after her return to Portsmouth was broken up in 1774.