The Muir Baronetcy, of Deanston in the county of Perth, and of Park Gardens in the city of Glasgow, is a title in the Baronetage of the United Kingdom.^[1] It was created on 20 October 1892 for John Muir, Lord Provost of Glasgow from 1889 to 1892. The second Baronet served as high sheriff of County Waterford in 1919. The third Baronet was a deputy lieutenant of Perthshire. The fourth baronet did not use his title. He died in 2023 and was succeded by his brother, the presumed fifth Baronet.

Muir baronets, of Deanston and Park Gardens, Glasgow (1892)

• Sir John Muir, 1st Baronet (1828–1903) Lord Provost of Glasgow
• Sir Alexander Kay Muir, 2nd Baronet (1868–1951)
• Sir John Harling Muir, 3rd Baronet (1910–1994)
• Richard James Kay Muir, presumed 4th Baronet (1939–2023)
• Ian Charles Muir, presumed 5th Baronet (born 1940)

The heir presumptive is the present holder's brother Andrew Hugh John Muir (born 1943).

The family are buried at Kincardine-in-Menteith on the road from Deanston to Stirling, just west of Blair Drummond.