Jens Bang (c. 1575 - 20 February 1644) was a wealthy Danish merchant.
Born in Horsens, he was the son of merchant Oluf Bang.
Bang arrived in Aalborg at the age of 22 where he was apprenticed to a merchant.
He purchased a large plot of land in 1621 on the corner of Algade and Østerå where, in 1623-24, he built a large stone house, which came to be known as Jens Bang's House.
He married Mette, daughter of Knud Jensen, the eel-salter.