1764 in Wales

Incumbents

• Lord Lieutenant of Anglesey – Sir Nicholas Bayly, 2nd Baronet
• Lord Lieutenant of Brecknockshire and Lord Lieutenant of Monmouthshire – Thomas Morgan
• Lord Lieutenant of Caernarvonshire – Thomas Wynn
• Lord Lieutenant of Cardiganshire – Wilmot Vaughan, 1st Earl of Lisburne
• Lord Lieutenant of Carmarthenshire – George Rice
• Lord Lieutenant of Denbighshire – Richard Myddelton
• Lord Lieutenant of Flintshire – Sir Roger Mostyn, 5th Baronet
• Lord Lieutenant of Glamorgan – Other Windsor, 4th Earl of Plymouth
• Lord Lieutenant of Merionethshire – William Vaughan
• Lord Lieutenant of Montgomeryshire – Henry Herbert, 1st Earl of Powis
• Lord Lieutenant of Pembrokeshire – Sir William Owen, 4th Baronet
• Lord Lieutenant of Radnorshire – Howell Gwynne
• Bishop of Bangor – John Egerton
• Bishop of Llandaff – John Ewer
• Bishop of St Asaph – Richard Newcome
• Bishop of St Davids – Samuel Squire

Events

• January – South Wales industrialist Anthony Bacon succeeds John Wilkes as MP for Aylesbury.
• February – Thomas Nowell, the new principal of St Mary Hall, Oxford, marries Sarah Munday, daughter of the Mayor of Oxford.
• 21 June – Humphrey Edwards, physician, begins a voyage round the world as physician on the.

Arts and literature

New books

English language

• Rowland Jones – The Origin of Language and Nations
• Gabriel Powell – ''Survey of Gower''

Welsh language

• Evan Evans – Some Specimens of the Poetry of the Antient Welsh Bards
• David Powell – Sail yr Athrawiaeth Gatholic
• Morgan Rhys – ''Golwg o Ben Nebo''

Music

• 31 March – "Jones" performs on the Welsh harp at a benefit concert in Dublin, "in the true Spirit and Taste peculiar to the Genius of his Country".

Births

• 29 April – Ann Hatton, English novelist
• 20 June – Thomas Evans (Tomos Glyn Cothi), first Unitarian minister in Wales
• 20 July – Sir Robert Williams, 9th Baronet, politician
• 27 July – John Thelwall, English-born orator, writer, political reformer, journalist and poet
• date unknown
• *William Crawshay I, ironmaster
• *Robert Waithman, lord mayor of London

Deaths

• 17 March – Uvedale Tomkins Price, politician, Steward of the Courts for Denbigh, 78
• 18 June – Christmas Samuel, minister and writer, 90
• 22 June – Sir John Philipps, 6th Baronet, 63
• 26 September – Joseph Harris, Assay-master of the Royal Mint, 60
• October – Richard Lathrop, bookseller and printer, age unknown
• date unknown – John Richards, preacher and poet, about 44