David Fleming (died 14 February 1406), Lord of Biggar, Lenzie and Cumbernauld was a Scottish nobleman.

David was the eldest son of Malcolm Fleming of Biggar.

He was entrusted by Robert II to convey Prince James of Scotland to Bass Rock for sailing for France in 1406, although the ship Maryenknyght was captured while en route to France, with Prince James and many Scottish nobles imprisoned by the English.

While returning from Bass Rock on 14 February 1406, he was ambushed by forces of Robert Stewart, Duke of Albany near Longherdmanston, six miles from Edinburgh and was killed in the skirmish.

They are known to have had the following issue: He married secondly Isabel, heiress of Monycabock, the daughter of Donald Strathechin and Annabel.