Rhind was born at 15 Gayfield Place in Edinburgh in 1808, the son of John Rhind. His father at the time of his birth is listed as a "writer" (a standard Scots term for a lawyer) but later became a cashier to the Edinburgh Friendly Insurance Company). His wife, David's mother, was named Marion Anderson. David Rhind was married twice: firstly to Emily Shoubridge in 1840; then to Mary Jane Sackville-Pearson in 1845. He lived until 1883 and was survived by eight of his children.
He is believed to have trained in the London drawing office of Augustus Charles Pugin and was a friend of Charles Barry. His practice began in Edinburgh, but examples of his work were constructed all over Scotland.
David worked in conjunction with Alexander Handyside Ritchie who executed much of the sculptural work on his buildings.
David Rhind's work included many branches of the Commercial Bank of Scotland, including their headquarters on George Street, Edinburgh, which is now The Dome bar and restaurant. Other buildings for the Commercial Bank, now part of the Royal Bank of Scotland, were constructed as far apart as Thurso and Jedburgh. He also designed a number of churches, local government buildings, schools, offices and private residences such as Carlowrie Castle. One of his grandest schemes was Daniel Stewart's Hospital, now Stewart's Melville College, Edinburgh. He employed Neo-Classical and Baronial styles (amongst others) during his work.
In 1849, Rhind was commissioned by Sir John Maxwell, 8th Baronet, to design the lay-out of the Pollokshields area of Glasgow, in what until then had been farmland 2 miles (3.2 km) south of the city centre.
He is buried with his family, including his wife Mary Jane Sackville Pearson (1825–1892) in St Cuthberts Churchyard in Edinburgh under the shadow of Edinburgh Castle. The grave lies on the south wall of the first south section, south of the church, backing onto the railway line. The monument is one of the most modest in its row. David's name is listed low on the stone, and easily missed.
Rhind was a Scottish Freemason. He was Initiated in Lodge Canongate Kilwinning, No. 2, on 28 November 1835.
- Numerous banks for the Commercial Bank of Scotland
- Camelon Church, Falkirk (1838)
- Monument to Sir Walter Scott, Glasgow (1838)
- Victoria Place Church, Falkirk (1838)
- Mausoleum to William Henry Miller (1848)
- Daniel Stewart's Hospital (now Stewart's Melville College) (1848–55)
- Carlowrie Castle (1851)
- St Luke's Episcopal Church, Dumbarton (1855)
- Sheriff Court House, Oban (1856)
- Kilmany Parish Church, Fife (1860)
- Sheriff Court House, Dumfries (1862)
- Hobkirk Parish Church (1862)
- Sheriff Court House, Wick, Caithness (1862)
- Roberton Parish Church (1863)
- Sheriff Court House, Kirkcudbright (1868)
- Sheriff Court House and Prison, Lerwick, Shetland (1873)
- Edinburgh Post Office directory 1808
- "Dictionary of Scottish Architects entry on David Rhind". Archived from the original on 2007-02-19. Retrieved 2006-11-02.
- Historic Environment Scotland. "14 George Street, Former Commercial Bank... (Category A Listed Building) (LB28862)". Retrieved 19 March 2019.
- Edinburgh and Leith Post Office directories 1849–1877
- History of the Lodge Canongate Kilwinning, No.2, compiled from the records 1677-1888. By Alan MacKenzie. 1888. P.245.
- Dictionary of Scottish Architects: David Rhind