David Torrance (1805 – January 29, 1876) was a Canadian merchant, shipper, and president of the Bank of Montreal.

His father was one of five Torrance brothers who emigrated to Canada from Lanarkshire, Scotland, early in the 19th century.

His uncle John succeeded Thomas and was a director of the bank until 1857, and in 1853 David Torrance joined the board.

In 1873, a vacancy arose for president, and Torrance was the second longest-serving director after Senator Thomas Ryan, who declined to take on the office.

[1] Torrance was a supporter of educational causes and in 1843 was a leading founder of the High School of Montreal.