John Dawnay, 4th Viscount Downe (9 April 1728 – 21 December 1780), was a British peer and Whig politician.
Dawnay was the younger son of the Honourable John Dawnay, eldest son of Henry Dawnay, 2nd Viscount Downe. His mother was Charlotte Louisa, daughter of Robert Pleydell, while Henry Dawnay, 3rd Viscount Downe, was his elder brother.
Dawnay was returned to Parliament for Cirencester in 1754. In 1760 he succeeded in the viscountcy after the death of his elder brother in the Seven Years' War. However, as this was an Irish peerage it did not entitle him to a seat in the English House of Lords and consequently did not prevent him from remaining a member of the House of Commons. In 1768 he was returned for Malton, a seat he held until 1774.
Lord Downe married Lora, daughter of William Burton, in 1763. They had at least seven children:
Lord Downe died in December 1780, aged 62, and was succeeded by his eldest son, John. The Viscountess Downe died in April 1812.