Viscount Galway (Irish: Víosa na Gaillimhe) is a title that has been created four times in the Peerage of Ireland.

The fourth creation came in the Peerage of Ireland in 1727 when John Monckton was made Baron Killard, of the County of Clare, and Viscount Galway.

He represented Clitheroe and Pontefract in the British House of Commons and served as Surveyor General of Woods and Forests in England and Wales.

His son, the sixth Viscount, sat for many years as the Conservative Member of Parliament for East Retford.

His son, the seventh Viscount, represented Nottinghamshire North in the House of Commons as a Conservative and was also an Aide-de-Camp to Queen Victoria, King Edward VII and King George V. In 1887 he was created Baron Monckton, of Serlby in the County of Nottingham, in the Peerage of the United Kingdom,[4] which gave him and his descendants an automatic seat in the House of Lords.

The barony of Monckton of Serlby became extinct while he was succeeded in the Irish titles by his second cousin once removed, the tenth Viscount.

See the Earl of Clanricarde The heir presumptive is Piers Alastair Carlos Monckton (born 1962), a great-great-great-great grandson of the 1st Viscount.