Johann Ludvig Zinn (14 September 1734 – 3 February 1802) was a German-Danish merchant who founded a trading house in Copenhagen in 1765 and died as one of the wealthiest men in the city.

It is unclear whether he was related to the renowned botanist Johann Gottfried Zinn (1727–1759), who came from the neighbouring city of Ansbach and who gave his name to the zinnia flower.

Zinn served as a commercial specialist judge at Copenhagen's Maritime Court and was a member of the city's Council of 32 Men from 1772 to 1802.

In 1789, he was a member of a commission set up to regulate Copenhagen's grain reserves (Provianteringskommission), and was also president of Grosserer-Societetet, a wholesaler organization, from 1790 until his death.

Zinn was naturalized in 1793 and donated a ballot box in silver to the city of Copenhagen to show his gratitude for the way he had been received.