Caleb Davis Bradham (May 27, 1867 – February 19, 1934) was an American pharmacist, who invented the soft drink Pepsi.

Circa 1890, he dropped out of the University of Maryland School of Medicine, owing to his father's business going bankrupt.

Middle Street and Pollock Street in downtown New Bern is where Bradham, in 1893, invented the recipe—a blend of kola nut extract, vanilla, and "rare oils"—for what was initially known as "Brad's Drink," but on August 28, 1898, was renamed Pepsi-Cola.

In addition to running his drug store, he served as the president of the People's Bank of New Bern and was a chairman of the Craven County Board of Commissioners.

Additionally, in 1914, he was appointed by Secretary of the Navy Josephus Daniels to the General Naval Militia Board.