1735 in Wales

Incumbents

• Lord Lieutenant of North Wales – George Cholmondeley, 3rd Earl of Cholmondeley
• Lord Lieutenant of Glamorgan – Charles Powlett, 3rd Duke of Bolton
• Lord Lieutenant of Brecknockshire and Lord Lieutenant of Monmouthshire – Thomas Morgan
• Lord Lieutenant of Cardiganshire – John Vaughan, 2nd Viscount Lisburne
• Lord Lieutenant of Carmarthenshire – vacant until 1755
• Lord Lieutenant of Denbighshire – Sir Robert Salusbury Cotton, 3rd Baronet
• Lord Lieutenant of Pembrokeshire – Sir Arthur Owen, 3rd Baronet
• Lord Lieutenant of Radnorshire – James Brydges, 1st Duke of Chandos
• Bishop of Bangor – Charles Cecil
• Bishop of Llandaff – John Harris
• Bishop of St Asaph – Thomas Tanner
• Bishop of St Davids – Nicholas Clagett

Events

• 29 January – The Kemeys baronetcy of Cefn Mabli becomes extinct on the death of Sir Charles Kemeys, 4th Baronet. His property at Cefn Mably is inherited by Sir Charles Tynte, 5th Baronet.
• 20 April – Religious conversion of Howell Harris at Talgarth, marking a beginning of the Welsh Methodist revival.
• September – Griffith Hughes records in his diary that he has broken his "knee pan" while travelling in Pennsylvania on behalf of the Society for the Propagation of the Gospel.
• date unknown – Swansea-born Beau Nash appoints himself Master of Ceremonies at Tunbridge Wells, where a public house is later named after him.

Arts and literature

New books

• Lewis Morris – ''Tlysau yr Hen Oesoedd''

Births

• 1 March – John Price, librarian
• 24 June – Barbara Herbert, Countess of Powis, posthumous daughter of Lord Edward Herbert
• July – Cecil de Cardonnel, 2nd Baroness Dynevor, peeress

Deaths

• 5 April – Sir Edward Stradling, 5th Baronet, MP for Cardiff and Sheriff of Glamorgan, 62
• July – John Ellis, antiquarian, 61
• 14 December – Thomas Tanner, Bishop of St Asaph, 61